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100121231322 = 23272334548389
BaseRepresentation
bin101110100111110110…
…0001011111111011010
3100120102121202112100200
41131033230023333122
53120022013400242
6113554533243030
710143045265410
oct1351754137732
9316377675320
10100121231322
1139508908a82
12174a2493476
139597977c58
144bbb1bb2b0
15290ebd504c
hex174fb0bfda

100121231322 has 48 divisors (see below), whose sum is σ = 258698344320. Its totient is φ = 27362323296.

The previous prime is 100121231297. The next prime is 100121231323. The reversal of 100121231322 is 223132121001.

100121231322 is a `hidden beast` number, since 100 + 1 + 212 + 31 + 322 = 666.

It is a super-2 number, since 2×1001212313222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100121231295 and 100121231304.

It is not an unprimeable number, because it can be changed into a prime (100121231323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17271297 + ... + 17277092.

It is an arithmetic number, because the mean of its divisors is an integer number (5389548840).

Almost surely, 2100121231322 is an apocalyptic number.

100121231322 is an abundant number, since it is smaller than the sum of its proper divisors (158577112998).

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

100121231322 is a wasteful number, since it uses less digits than its factorization.

100121231322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34548427 (or 34548424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100121231322 its reverse (223132121001), we get a palindrome (323253352323).

The spelling of 100121231322 in words is "one hundred billion, one hundred twenty-one million, two hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 34548389 69096778 103645167 207290334 241838723 310935501 483677446 621871002 725516169 794612947 1451032338 1589225894 2176548507 2383838841 4353097014 4767677682 5562290629 7151516523 11124581258 14303033046 16686871887 33373743774 50060615661 100121231322