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101012331013 = 1125914149367
BaseRepresentation
bin101111000010011001…
…1011101101000000101
3100122201201112002022221
41132010303131220011
53123333124043023
6114223204452341
710204115434606
oct1360463355005
9318651462287
10101012331013
1139925911400
12176b09aa0b1
1396aa476489
144c6369bdad
15296305485d
hex1784cdda05

101012331013 has 12 divisors (see below), whose sum is σ = 112911956640. Its totient is φ = 90272955080.

The previous prime is 101012330981. The next prime is 101012331103. The reversal of 101012331013 is 310133210101.

It is not a de Polignac number, because 101012331013 - 25 = 101012330981 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 (101012331313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7067545 + ... + 7081822.

It is an arithmetic number, because the mean of its divisors is an integer number (9409329720).

Almost surely, 2101012331013 is an apocalyptic number.

It is an amenable number.

101012331013 is a deficient number, since it is larger than the sum of its proper divisors (11899625627).

101012331013 is a wasteful number, since it uses less digits than its factorization.

101012331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14149448 (or 14149437 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101012331013 its reverse (310133210101), we get a palindrome (411145541114).

The spelling of 101012331013 in words is "one hundred one billion, twelve million, three hundred thirty-one thousand, thirteen".

Divisors: 1 11 59 121 649 7139 14149367 155643037 834812653 1712073407 9182939183 101012331013