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10040031 = 3579523
BaseRepresentation
bin100110010011…
…001011011111
3200220002100000
4212103023133
510032240111
6555105343
7151224141
oct46231337
920802300
1010040031
115738251
123442253
132106b61
141494c91
15d34c56
hex9932df

10040031 has 24 divisors (see below), whose sum is σ = 15258880. Its totient is φ = 6595992.

The previous prime is 10040011. The next prime is 10040057. The reversal of 10040031 is 13004001.

It is a de Polignac number, because none of the positive numbers 2k-10040031 is a prime.

It is a super-2 number, since 2×100400312 = 201604444961922, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10039995 and 10040022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18936 + ... + 19458.

Almost surely, 210040031 is an apocalyptic number.

10040031 is a deficient number, since it is larger than the sum of its proper divisors (5218849).

10040031 is an frugal number, since it uses more digits than its factorization.

10040031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10040031 is about 3168.6007953038. The cubic root of 10040031 is about 215.7305668331.

Adding to 10040031 its reverse (13004001), we get a palindrome (23044032).

It can be divided in two parts, 1004003 and 1, that added together give a square (1004004 = 10022).

The spelling of 10040031 in words is "ten million, forty thousand, thirty-one".

Divisors: 1 3 9 27 79 81 237 243 523 711 1569 2133 4707 6399 14121 19197 41317 42363 123951 127089 371853 1115559 3346677 10040031