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10142331320 = 2351122095523
BaseRepresentation
bin10010111001000011…
…11011000110111000
3222011211120210222202
421130201323012320
5131232414100240
64354225205332
7506223252032
oct113441730670
928154523882
1010142331320
114335099700
121b70790848
13c583329a4
146c3012c52
153e5625315
hex25c87b1b8

10142331320 has 48 divisors (see below), whose sum is σ = 25083422280. Its totient is φ = 3688118720.

The previous prime is 10142331319. The next prime is 10142331337. The reversal of 10142331320 is 2313324101.

10142331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10142331292 and 10142331301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042922 + ... + 1052601.

Almost surely, 210142331320 is an apocalyptic number.

10142331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142331320 is an abundant number, since it is smaller than the sum of its proper divisors (14941090960).

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

10142331320 is a wasteful number, since it uses less digits than its factorization.

10142331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095556 (or 2095541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10142331320 its reverse (2313324101), we get a palindrome (12455655421).

The spelling of 10142331320 in words is "ten billion, one hundred forty-two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2095523 4191046 8382092 10477615 16764184 20955230 23050753 41910460 46101506 83820920 92203012 115253765 184406024 230507530 253558283 461015060 507116566 922030120 1014233132 1267791415 2028466264 2535582830 5071165660 10142331320