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105211373274 = 23271316374129
BaseRepresentation
bin110000111111100010…
…1100010011011011010
3101001120100202112102200
41201333011202123122
53210433102421044
6120200004511030
710413143626410
oct1417705423332
9331510675380
10105211373274
1140690093a67
12184830ab476
139bc93a8277
1451412252b0
152b0b9e5369
hex187f1626da

105211373274 has 48 divisors (see below), whose sum is σ = 262512169920. Its totient is φ = 29830919040.

The previous prime is 105211373269. The next prime is 105211373299. The reversal of 105211373274 is 472373112501.

105211373274 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 11 + 373 + 274 = 666.

It is a super-2 number, since 2×1052113732742 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3170559 + ... + 3203570.

It is an arithmetic number, because the mean of its divisors is an integer number (5469003540).

Almost surely, 2105211373274 is an apocalyptic number.

105211373274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105211373274 is an abundant number, since it is smaller than the sum of its proper divisors (157300796646).

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

105211373274 is a wasteful number, since it uses less digits than its factorization.

105211373274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374275 (or 6374272 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 105211373274 its reverse (472373112501), we get a palindrome (577584485775).

The spelling of 105211373274 in words is "one hundred five billion, two hundred eleven million, three hundred seventy-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5502 8253 16506 6374129 12748258 19122387 38244774 44618903 57367161 89237806 114734322 133856709 267713418 401570127 803140254 835010899 1670021798 2505032697 5010065394 5845076293 7515098091 11690152586 15030196182 17535228879 35070457758 52605686637 105211373274