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31540220032 = 2719910311201
BaseRepresentation
bin11101010111111100…
…011001000010000000
310000102002111012001111
4131113330121002000
51004043244020112
622253412213104
72164411306156
oct352774310200
9100362435044
1031540220032
11124156a5152
12614290a194
132c884ca0b9
141752c1b3d6
15c48e6a5a7
hex757f19080

31540220032 has 64 divisors (see below), whose sum is σ = 63263664000. Its totient is φ = 15662592000.

The previous prime is 31540220029. The next prime is 31540220069. The reversal of 31540220032 is 23002204513.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 31540219985 and 31540220012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26261032 + ... + 26262232.

It is an arithmetic number, because the mean of its divisors is an integer number (988494750).

Almost surely, 231540220032 is an apocalyptic number.

31540220032 is a gapful number since it is divisible by the number (32) 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 31540220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31631832000).

31540220032 is an abundant number, since it is smaller than the sum of its proper divisors (31723443968).

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

31540220032 is a wasteful number, since it uses less digits than its factorization.

31540220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 31540220032 its reverse (23002204513), we get a palindrome (54542424545).

The spelling of 31540220032 in words is "thirty-one billion, five hundred forty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 199 398 796 1031 1201 1592 2062 2402 3184 4124 4804 6368 8248 9608 12736 16496 19216 25472 32992 38432 65984 76864 131968 153728 205169 238999 410338 477998 820676 955996 1238231 1641352 1911992 2476462 3282704 3823984 4952924 6565408 7647968 9905848 13130816 15295936 19811696 26261632 30591872 39623392 79246784 158493568 246407969 492815938 985631876 1971263752 3942527504 7885055008 15770110016 31540220032