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110220121302320 = 24537411051864137
BaseRepresentation
bin11001000011111010011111…
…001011010110010100110000
3112110020221101202121112100202
4121003322133023112110300
5103421321302023133240
61030230231423134332
732134066232644541
oct3103723713262460
9473227352545322
10110220121302320
1132135100051667
12104414937443a8
134966936159b83
141d3097a4824c8
15cb21293b4315
hex643e9f2d6530

110220121302320 has 160 divisors (see below), whose sum is σ = 269863826734656. Its totient is φ = 41810356224000.

The previous prime is 110220121302299. The next prime is 110220121302341. The reversal of 110220121302320 is 23203121022011.

It is an interprime number because it is at equal distance from previous prime (110220121302299) and next prime (110220121302341).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110220121302292 and 110220121302301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127117292 + ... + 127981428.

Almost surely, 2110220121302320 is an apocalyptic number.

110220121302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110220121302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134931913367328).

110220121302320 is an abundant number, since it is smaller than the sum of its proper divisors (159643705432336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110220121302320 is a wasteful number, since it uses less digits than its factorization.

110220121302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865279 (or 865273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 110220121302320 its reverse (23203121022011), we get a palindrome (133423242324331).

The spelling of 110220121302320 in words is "one hundred ten trillion, two hundred twenty billion, one hundred twenty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 148 164 185 205 296 328 370 410 592 656 740 820 1051 1480 1517 1640 2102 2960 3034 3280 4204 5255 6068 7585 8408 10510 12136 15170 16816 21020 24272 30340 38887 42040 43091 60680 77774 84080 86182 121360 155548 172364 194435 215455 311096 344728 388870 430910 622192 689456 777740 861820 864137 1555480 1594367 1723640 1728274 3110960 3188734 3447280 3456548 4320685 6377468 6913096 7971835 8641370 12754936 13826192 15943670 17282740 25509872 31887340 31973069 34565480 35429617 63774680 63946138 69130960 70859234 127549360 127892276 141718468 159865345 177148085 255784552 283436936 319730690 354296170 511569104 566873872 639461380 708592340 908207987 1278922760 1310895829 1417184680 1816415974 2557845520 2621791658 2834369360 3632831948 4541039935 5243583316 6554479145 7265663896 9082079870 10487166632 13108958290 14531327792 18164159740 20974333264 26217916580 33603695519 36328319480 37236527467 52435833160 67207391038 72656638960 74473054934 104871666320 134414782076 148946109868 168018477595 186182637335 268829564152 297892219736 336036955190 372365274670 537659128304 595784439472 672073910380 744730549340 1344147820760 1377751516279 1489461098680 2688295641520 2755503032558 2978922197360 5511006065116 6888757581395 11022012130232 13777515162790 22044024260464 27555030325580 55110060651160 110220121302320