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10100334231 = 331343366457
BaseRepresentation
bin10010110100000011…
…01101111010010111
3222001220120010211000
421122001231322113
5131141141143411
64350125114343
7505203265401
oct113201557227
928056503730
1010100334231
114313414669
121b5a6b89b3
13c4c71a140
146bb5ddb71
153e1acb956
hex25a06de97

10100334231 has 32 divisors (see below), whose sum is σ = 16151952320. Its totient is φ = 6201142272.

The previous prime is 10100334193. The next prime is 10100334271. The reversal of 10100334231 is 13243300101.

10100334231 is a `hidden beast` number, since 1 + 0 + 100 + 334 + 231 = 666.

It is not a de Polignac number, because 10100334231 - 210 = 10100333207 is a prime.

It is a super-2 number, since 2×101003342312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100334271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118755 + ... + 185211.

It is an arithmetic number, because the mean of its divisors is an integer number (504748510).

Almost surely, 210100334231 is an apocalyptic number.

10100334231 is a deficient number, since it is larger than the sum of its proper divisors (6051618089).

10100334231 is a wasteful number, since it uses less digits than its factorization.

10100334231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66912 (or 66906 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10100334231 its reverse (13243300101), we get a palindrome (23343634332).

The spelling of 10100334231 in words is "ten billion, one hundred million, three hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 433 1299 3897 5629 11691 16887 50661 66457 151983 199371 598113 863941 1794339 2591823 7775469 23326407 28775881 86327643 258982929 374086453 776948787 1122259359 3366778077 10100334231