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13012431432 = 233711133714639
BaseRepresentation
bin11000001111001100…
…11111001001001000
31020120212012000011220
430013212133021020
5203122140301212
65551113322040
7640313561610
oct140746371110
936525160156
1013012431432
1155781a6370
122631a06320
1312c4b35190
148b6283a40
155125aa38c
hex30799f248

13012431432 has 256 divisors, whose sum is σ = 44861644800. Its totient is φ = 3035335680.

The previous prime is 13012431407. The next prime is 13012431433. The reversal of 13012431432 is 23413421031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13012431433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881569 + ... + 896207.

It is an arithmetic number, because the mean of its divisors is an integer number (175240800).

Almost surely, 213012431432 is an apocalyptic number.

13012431432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22430822400).

13012431432 is an abundant number, since it is smaller than the sum of its proper divisors (31849213368).

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

13012431432 is a wasteful number, since it uses less digits than its factorization.

13012431432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14716 (or 14712 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13012431432 its reverse (23413421031), we get a palindrome (36425852463).

It can be divided in two parts, 13012 and 431432, that added together give a palindrome (444444).

The spelling of 13012431432 in words is "thirteen billion, twelve million, four hundred thirty-one thousand, four hundred thirty-two".