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10012432311 = 3277313116619
BaseRepresentation
bin10010101001100100…
…11001011110110111
3221211210011021001100
421110302121132313
5131001140313221
64333305101143
7503055161520
oct112462313667
927753137040
1010012432311
114278836652
121b351877b3
13c3745117b
146ada7b847
153d9016926
hex254c997b7

10012432311 has 48 divisors (see below), whose sum is σ = 16883792640. Its totient is φ = 5599601280.

The previous prime is 10012432303. The next prime is 10012432361. The reversal of 10012432311 is 11323421001.

It is not a de Polignac number, because 10012432311 - 23 = 10012432303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012432361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594160 + ... + 610778.

It is an arithmetic number, because the mean of its divisors is an integer number (351745680).

Almost surely, 210012432311 is an apocalyptic number.

10012432311 is a deficient number, since it is larger than the sum of its proper divisors (6871360329).

10012432311 is a wasteful number, since it uses less digits than its factorization.

10012432311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16836 (or 16833 counting only the distinct ones).

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

Adding to 10012432311 its reverse (11323421001), we get a palindrome (21335853312).

The spelling of 10012432311 in words is "ten billion, twelve million, four hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 73 131 219 393 511 657 917 1179 1533 2751 4599 8253 9563 16619 28689 49857 66941 86067 116333 149571 200823 348999 602469 1046997 1213187 2177089 3639561 6531267 8492309 10918683 15239623 19593801 25476927 45718869 76430781 137156607 158927497 476782491 1112492479 1430347473 3337477437 10012432311