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10431311004 = 223343252237
BaseRepresentation
bin10011011011100000…
…10010110010011100
3222220222100111121000
421231300102302130
5132330403423004
64443031110300
7516332452302
oct115560226234
928828314530
1010431311004
114473226394
122031512390
13ca317269a
1470d558272
15410ba8c39
hex26dc12c9c

10431311004 has 72 divisors (see below), whose sum is σ = 27688229520. Its totient is φ = 3396175776.

The previous prime is 10431310997. The next prime is 10431311029. The reversal of 10431311004 is 40011313401.

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

It is a congruent 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, 173574 + ... + 225810.

Almost surely, 210431311004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431311004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844114760).

10431311004 is an abundant number, since it is smaller than the sum of its proper divisors (17256918516).

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

10431311004 is a wasteful number, since it uses less digits than its factorization.

10431311004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52336 (or 52285 counting only the distinct ones).

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

Adding to 10431311004 its reverse (40011313401), we get a palindrome (50442624405).

The spelling of 10431311004 in words is "ten billion, four hundred thirty-one million, three hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 1849 2322 3698 4644 5547 7396 11094 16641 22188 33282 49923 52237 66564 99846 104474 156711 199692 208948 313422 470133 626844 940266 1410399 1880532 2246191 2820798 4492382 5641596 6738573 8984764 13477146 20215719 26954292 40431438 60647157 80862876 96586213 121294314 193172426 242588628 289758639 386344852 579517278 869275917 1159034556 1738551834 2607827751 3477103668 5215655502 10431311004