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10023125040 = 2432513921007
BaseRepresentation
bin10010101010110110…
…01100000000110000
3221212112021111201100
421111123030000300
5131011410000130
64334330204400
7503245104615
oct112533140060
927775244640
1010023125040
11428387a215
121b38883700
13c39726126
146b126250c
153d9e29c60
hex2556cc030

10023125040 has 60 divisors (see below), whose sum is σ = 33660997344. Its totient is φ = 2672833152.

The previous prime is 10023125039. The next prime is 10023125041. The reversal of 10023125040 is 4052132001.

It is an interprime number because it is at equal distance from previous prime (10023125039) and next prime (10023125041).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×100231250403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10023125041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6959784 + ... + 6961223.

Almost surely, 210023125040 is an apocalyptic number.

10023125040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023125040 is an abundant number, since it is smaller than the sum of its proper divisors (23637872304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023125040 is a wasteful number, since it uses less digits than its factorization.

10023125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921026 (or 13921017 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10023125040 its reverse (4052132001), we get a palindrome (14075257041).

The spelling of 10023125040 in words is "ten billion, twenty-three million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 13921007 27842014 41763021 55684028 69605035 83526042 111368056 125289063 139210070 167052084 208815105 222736112 250578126 278420140 334104168 417630210 501156252 556840280 626445315 668208336 835260420 1002312504 1113680560 1252890630 1670520840 2004625008 2505781260 3341041680 5011562520 10023125040