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10146452031 = 328915780683
BaseRepresentation
bin10010111001100011…
…01001001000111111
3222012010100011112200
421130301221020333
5131234442431111
64354453402543
7506303263542
oct113461511077
928163304480
1010146452031
114337453651
121b72039453
13c59146491
146c37a6859
153e5b8b256
hex25cc6923f

10146452031 has 24 divisors (see below), whose sum is σ = 14915244240. Its totient is φ = 6645614976.

The previous prime is 10146452027. The next prime is 10146452039. The reversal of 10146452031 is 13025464101.

It is a happy number.

10146452031 is a `hidden beast` number, since 1 + 0 + 14 + 645 + 2 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 10146452031 - 22 = 10146452027 is a prime.

It is a super-2 number, since 2×101464520312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10146451986 and 10146452004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146452039) 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, 85416 + ... + 166098.

It is an arithmetic number, because the mean of its divisors is an integer number (621468510).

Almost surely, 210146452031 is an apocalyptic number.

10146452031 is a deficient number, since it is larger than the sum of its proper divisors (4768792209).

10146452031 is a wasteful number, since it uses less digits than its factorization.

10146452031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80935 (or 80932 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10146452031 in words is "ten billion, one hundred forty-six million, four hundred fifty-two thousand, thirty-one".

Divisors: 1 3 9 89 157 267 471 801 1413 13973 41919 80683 125757 242049 726147 7180787 12667231 21542361 38001693 64627083 114005079 1127383559 3382150677 10146452031