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1023202012320 = 25325710556953
BaseRepresentation
bin11101110001110111001…
…01111010110010100000
310121211001201002202212200
432320323211322302200
5113231004203343240
62102015202053200
7133631620413555
oct16707345726240
93554051082780
101023202012320
11364a34952194
1214637834a200
1375645167c07
1437747abca2c
151b93867b930
hexee3b97aca0

1023202012320 has 72 divisors (see below), whose sum is σ = 3491676871956. Its totient is φ = 272853869568.

The previous prime is 1023202012309. The next prime is 1023202012321. The reversal of 1023202012320 is 232102023201.

1023202012320 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 20 + 1 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 966296864016 + 56905148304 = 983004^2 + 238548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1023202012293 and 1023202012302.

It is not an unprimeable number, because it can be changed into a prime (1023202012321) 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, 355277037 + ... + 355279916.

Almost surely, 21023202012320 is an apocalyptic number.

1023202012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023202012320 is an abundant number, since it is smaller than the sum of its proper divisors (2468474859636).

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

1023202012320 is a wasteful number, since it uses less digits than its factorization.

1023202012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710556974 (or 710556963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1023202012320 its reverse (232102023201), we get a palindrome (1255304035521).

The spelling of 1023202012320 in words is "one trillion, twenty-three billion, two hundred two million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 710556953 1421113906 2131670859 2842227812 3552784765 4263341718 5684455624 6395012577 7105569530 8526683436 10658354295 11368911248 12790025154 14211139060 17053366872 21316708590 22737822496 25580050308 28422278120 31975062885 34106733744 42633417180 51160100616 56844556240 63950125770 68213467488 85266834360 102320201232 113689112480 127900251540 170533668720 204640402464 255800503080 341067337440 511601006160 1023202012320