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100310031 = 3289125231
BaseRepresentation
bin1011111101010…
…01110000001111
320222202021111100
411332221300033
5201134410111
613541554143
72325423033
oct576516017
9228667440
10100310031
1151693458
1229715953
1317a21963
14d4721c3
158c16756
hex5fa9c0f

100310031 has 12 divisors (see below), whose sum is σ = 146521440. Its totient is φ = 66121440.

The previous prime is 100310027. The next prime is 100310051. The reversal of 100310031 is 130013001.

It is not a de Polignac number, because 100310031 - 22 = 100310027 is a prime.

It is a super-2 number, since 2×1003100312 = 20124204638441922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100309995 and 100310022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310051) 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, 61815 + ... + 63416.

It is an arithmetic number, because the mean of its divisors is an integer number (12210120).

Almost surely, 2100310031 is an apocalyptic number.

100310031 is a deficient number, since it is larger than the sum of its proper divisors (46211409).

100310031 is a wasteful number, since it uses less digits than its factorization.

100310031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125326 (or 125323 counting only the distinct ones).

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

The square root of 100310031 is about 10015.4895536863. The cubic root of 100310031 is about 464.6380673049.

Adding to 100310031 its reverse (130013001), we get a palindrome (230323032).

The spelling of 100310031 in words is "one hundred million, three hundred ten thousand, thirty-one".

Divisors: 1 3 9 89 267 801 125231 375693 1127079 11145559 33436677 100310031