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31112321100 = 22352741361351
BaseRepresentation
bin11100111110011100…
…000101100001001100
32222022021022200001220
4130332130011201030
51002204223233400
622143125003340
72150664236340
oct347634054114
988267280056
1031112321100
1112216104373
126043553550
132c1a96ac73
141712073620
15c215e57a0
hex73e70584c

31112321100 has 144 divisors (see below), whose sum is σ = 105387588096. Its totient is φ = 6937920000.

The previous prime is 31112321087. The next prime is 31112321101. The reversal of 31112321100 is 112321113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31112321100.

It is not an unprimeable number, because it can be changed into a prime (31112321101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94576 + ... + 266775.

Almost surely, 231112321100 is an apocalyptic number.

31112321100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31112321100 is an abundant number, since it is smaller than the sum of its proper divisors (74275266996).

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

31112321100 is a wasteful number, since it uses less digits than its factorization.

31112321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361416 (or 361409 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31112321100 its reverse (112321113), we get a palindrome (31224642213).

The spelling of 31112321100 in words is "thirty-one billion, one hundred twelve million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1025 1050 1148 1230 1435 1722 2050 2100 2460 2870 3075 3444 4100 4305 5740 6150 7175 8610 12300 14350 17220 21525 28700 43050 86100 361351 722702 1084053 1445404 1806755 2168106 2529457 3613510 4336212 5058914 5420265 7227020 7588371 9033775 10117828 10840530 12647285 14815391 15176742 18067550 21681060 25294570 27101325 29630782 30353484 36135100 37941855 44446173 50589140 54202650 59261564 63236425 74076955 75883710 88892346 103707737 108405300 126472850 148153910 151767420 177784692 189709275 207415474 222230865 252945700 296307820 311123211 370384775 379418550 414830948 444461730 518538685 622246422 740769550 758837100 888923460 1037077370 1111154325 1244492844 1481539100 1555616055 2074154740 2222308650 2592693425 3111232110 4444617300 5185386850 6222464220 7778080275 10370773700 15556160550 31112321100