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1103122220120 = 2351713914937817
BaseRepresentation
bin10000000011010111001…
…101010100010001011000
310220110100111001222112222
4100003113031110101120
5121033143242020440
62202433425323212
7142461253106054
oct20032715242130
93813314058488
101103122220120
1139591680a1a8
12159961496508
13800408b30bb
143b56a006c64
151da64b382b5
hex100d7354458

1103122220120 has 128 divisors (see below), whose sum is σ = 2649044865600. Its totient is φ = 411976482816.

The previous prime is 1103122220077. The next prime is 1103122220173. The reversal of 1103122220120 is 210222213011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 141114452 + ... + 141122268.

Almost surely, 21103122220120 is an apocalyptic number.

1103122220120 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 1103122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324522432800).

1103122220120 is an abundant number, since it is smaller than the sum of its proper divisors (1545922645480).

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

1103122220120 is a wasteful number, since it uses less digits than its factorization.

1103122220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9477 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1103122220120 its reverse (210222213011), we get a palindrome (1313344433131).

The spelling of 1103122220120 in words is "one trillion, one hundred three billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 139 170 278 340 556 680 695 1112 1390 1493 2363 2780 2986 4726 5560 5972 7465 7817 9452 11815 11944 14930 15634 18904 23630 25381 29860 31268 39085 47260 50762 59720 62536 78170 94520 101524 126905 132889 156340 203048 207527 253810 265778 312680 415054 507620 531556 664445 830108 1015240 1037635 1063112 1086563 1328890 1660216 2075270 2173126 2657780 3527959 4150540 4346252 5315560 5432815 7055918 8301080 8692504 10865630 11670781 14111836 17639795 18471571 21731260 23341562 28223672 35279590 36943142 43462520 46683124 58353905 70559180 73886284 92357855 93366248 116707810 141118360 147772568 184715710 198403277 233415620 369431420 396806554 466831240 738862840 793613108 992016385 1587226216 1622238559 1984032770 3244477118 3968065540 6488954236 7936131080 8111192795 12977908472 16222385590 27578055503 32444771180 55156111006 64889542360 110312222012 137890277515 220624444024 275780555030 551561110060 1103122220120