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103010131032 = 23368319513221
BaseRepresentation
bin101111111101111100…
…0011101110001011000
3100211212221201211202020
41133323320131301120
53141431043143112
6115153332334440
710304454444504
oct1377370356130
9324787654666
10103010131032
113a7605960a6
1217b69a74420
139938330373
144db2b43304
152a2d63048c
hex17fbe1dc58

103010131032 has 64 divisors (see below), whose sum is σ = 258114677760. Its totient is φ = 34258224000.

The previous prime is 103010131001. The next prime is 103010131033. The reversal of 103010131032 is 230131010301.

It is a super-2 number, since 2×1030101310322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103010131033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31979182 + ... + 31982402.

It is an arithmetic number, because the mean of its divisors is an integer number (4033041840).

Almost surely, 2103010131032 is an apocalyptic number.

103010131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103010131032 is an abundant number, since it is smaller than the sum of its proper divisors (155104546728).

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

103010131032 is a wasteful number, since it uses less digits than its factorization.

103010131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103010131032 its reverse (230131010301), we get a palindrome (333141141333).

The spelling of 103010131032 in words is "one hundred three billion, ten million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 683 1366 1951 2049 2732 3221 3902 4098 5464 5853 6442 7804 8196 9663 11706 12884 15608 16392 19326 23412 25768 38652 46824 77304 1332533 2199943 2665066 3997599 4399886 5330132 6284171 6599829 7995198 8799772 10660264 12568342 13199658 15990396 17599544 18852513 25136684 26399316 31980792 37705026 50273368 52798632 75410052 150820104 4292088793 8584177586 12876266379 17168355172 25752532758 34336710344 51505065516 103010131032