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1105224420330 = 234510714718669
BaseRepresentation
bin10000000101010100100…
…000100100101111101010
310220122202222201211010000
4100011110200210233222
5121101444422422310
62203422203003430
7142564330365462
oct20052440445752
93818688654100
101105224420330
113967a5410348
1215a249509576
13802b7291554
143b6c92a6ba2
151db394874c0
hex10154824bea

1105224420330 has 160 divisors (see below), whose sum is σ = 3001985141760. Its totient is φ = 291739916160.

The previous prime is 1105224420319. The next prime is 1105224420373. The reversal of 1105224420330 is 330244225011.

1105224420330 is a `hidden beast` number, since 1 + 10 + 5 + 224 + 420 + 3 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1105224420294 and 1105224420303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127487236 + ... + 127495904.

It is an arithmetic number, because the mean of its divisors is an integer number (18762407136).

Almost surely, 21105224420330 is an apocalyptic number.

1105224420330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105224420330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500992570880).

1105224420330 is an abundant number, since it is smaller than the sum of its proper divisors (1896760721430).

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

1105224420330 is a wasteful number, since it uses less digits than its factorization.

1105224420330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1105224420330 its reverse (330244225011), we get a palindrome (1435468645341).

The spelling of 1105224420330 in words is "one trillion, one hundred five billion, two hundred twenty-four million, four hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 535 642 810 963 1070 1471 1605 1926 2889 2942 3210 4413 4815 5778 7355 8667 8669 8826 9630 13239 14445 14710 17334 17338 22065 26007 26478 28890 39717 43335 43345 44130 52014 66195 78021 79434 86670 86690 119151 130035 132390 156042 157397 198585 234063 238302 260070 314794 390105 397170 468126 472191 595755 702189 780210 786985 927583 944382 1170315 1191510 1404378 1416573 1573970 1855166 2340630 2360955 2782749 2833146 3510945 4249719 4637915 4721910 5565498 7021890 7082865 8348247 8499438 9275830 12749157 12752099 13913745 14165730 16696494 21248595 25044741 25498314 25504198 27827490 38256297 41741235 42497190 50089482 63745785 63760495 75134223 76512594 83482470 114768891 125223705 127491570 127520990 150268446 191281485 229537782 250447410 344306673 375671115 382562970 573844455 688613346 751342230 1032920019 1147688910 1364474593 1721533365 2065840038 2728949186 3443066730 4093423779 5164600095 6822372965 8186847558 10329200190 12280271337 13644745930 20467118895 24560542674 36840814011 40934237790 61401356685 73681628022 110522442033 122802713370 184204070055 221044884066 368408140110 552612210165 1105224420330