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31341131432 = 23131013079719
BaseRepresentation
bin11101001100000100…
…111011011010101000
32222220012212102211122
4131030010323122220
51003141312201212
622221541114412
72156443136012
oct351404733250
988805772748
1031341131432
1112323284a16
1260a80b8a08
132c561a18b0
1417345d51b2
15c36741272
hex74c13b6a8

31341131432 has 64 divisors (see below), whose sum is σ = 64126339200. Its totient is φ = 14273798400.

The previous prime is 31341131431. The next prime is 31341131441. The reversal of 31341131432 is 23413114313.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (31341131431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3219869 + ... + 3229587.

It is an arithmetic number, because the mean of its divisors is an integer number (1001974050).

Almost surely, 231341131432 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 31341131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32063169600).

31341131432 is an abundant number, since it is smaller than the sum of its proper divisors (32785207768).

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

31341131432 is a wasteful number, since it uses less digits than its factorization.

31341131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10142 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 31341131432 its reverse (23413114313), we get a palindrome (54754245745).

The spelling of 31341131432 in words is "thirty-one billion, three hundred forty-one million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 307 404 614 808 1228 1313 2456 2626 3991 5252 7982 9719 10504 15964 19438 31007 31928 38876 62014 77752 124028 126347 248056 252694 403091 505388 806182 981619 1010776 1612364 1963238 2983733 3224728 3926476 5967466 7852952 11934932 12761047 23869864 25522094 38788529 51044188 77577058 102088376 155154116 301357033 310308232 602714066 1205428132 2410856264 3917641429 7835282858 15670565716 31341131432