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31012432101 = 327737099511
BaseRepresentation
bin11100111000011111…
…000010100011100101
32222001022100210010100
4130320133002203211
51002003140311401
622125200014313
72145342215640
oct347037024345
988038323110
1031012432101
1112174789282
126016001399
132c03065b51
141702ab0a57
15c17963b86
hex7387c28e5

31012432101 has 48 divisors (see below), whose sum is σ = 51975089920. Its totient is φ = 17452143360.

The previous prime is 31012432097. The next prime is 31012432181. The reversal of 31012432101 is 10123421013.

It is not a de Polignac number, because 31012432101 - 22 = 31012432097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012432181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3255936 + ... + 3265446.

Almost surely, 231012432101 is an apocalyptic number.

It is an amenable number.

31012432101 is a deficient number, since it is larger than the sum of its proper divisors (20962657819).

31012432101 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (31012432100) it forms an eRAP, since the sums of their prime factors are consecutive (10305 and 10306).

31012432101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10303 counting only the distinct ones).

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

Adding to 31012432101 its reverse (10123421013), we get a palindrome (41135853114).

It can be divided in two parts, 310124 and 32101, that added together give a square (342225 = 5852).

The spelling of 31012432101 in words is "thirty-one billion, twelve million, four hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 63 73 219 511 657 709 1533 2127 4599 4963 6381 9511 14889 28533 44667 51757 66577 85599 155271 199731 362299 465813 599193 694303 1086897 2082909 3260691 4860121 6248727 6743299 14580363 20229897 43741089 47203093 60689691 141609279 424827837 492260827 1476782481 3445825789 4430347443 10337477367 31012432101