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101020100031 = 3211224455559
BaseRepresentation
bin101111000010101000…
…1000110010110111111
3100122202021010210102100
41132011101012112333
53123342121200111
6114224043200143
710204241453034
oct1360521062677
9318667123370
10101020100031
113992a238384
12176b3516053
1396abc66726
144c6472138b
152963a8b756
hex17854465bf

101020100031 has 6 divisors (see below), whose sum is σ = 145917922280. Its totient is φ = 67346733348.

The previous prime is 101020100023. The next prime is 101020100053. The reversal of 101020100031 is 130001020101.

It is not a de Polignac number, because 101020100031 - 23 = 101020100023 is a prime.

It is a super-2 number, since 2×1010201000312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11224455559 = 101020100031 / (1 + 0 + 1 + 0 + 2 + 0 + 1 + 0 + 0 + 0 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020099986 and 101020100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020100021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5612227771 + ... + 5612227788.

Almost surely, 2101020100031 is an apocalyptic number.

101020100031 is a deficient number, since it is larger than the sum of its proper divisors (44897822249).

101020100031 is a wasteful number, since it uses less digits than its factorization.

101020100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224455565 (or 11224455562 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101020100031 its reverse (130001020101), we get a palindrome (231021120132).

The spelling of 101020100031 in words is "one hundred one billion, twenty million, one hundred thousand, thirty-one".

Divisors: 1 3 9 11224455559 33673366677 101020100031