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13233110020 = 22513122941413
BaseRepresentation
bin11000101001100000…
…10011110000000100
31021011020102122021221
430110300103300010
5204100134010040
610025035250124
7645633402454
oct142460236004
937136378257
1013233110020
115680822469
1226938a9944
13132b77c720
148d76c9d64
15526b4b74a
hex314c13c04

13233110020 has 48 divisors (see below), whose sum is σ = 29952261360. Its totient is φ = 4881977856.

The previous prime is 13233110003. The next prime is 13233110039. The reversal of 13233110020 is 2001133231.

It can be written as a sum of positive squares in 8 ways, for example, as 681940996 + 12551169024 = 26114^2 + 112032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13233109976 and 13233110003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298834 + ... + 340246.

It is an arithmetic number, because the mean of its divisors is an integer number (624005445).

Almost surely, 213233110020 is an apocalyptic number.

13233110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13233110020 is an abundant number, since it is smaller than the sum of its proper divisors (16719151340).

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

13233110020 is a wasteful number, since it uses less digits than its factorization.

13233110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42664 (or 42662 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13233110020 its reverse (2001133231), we get a palindrome (15234243251).

The spelling of 13233110020 in words is "thirteen billion, two hundred thirty-three million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1229 2458 4916 6145 12290 15977 24580 31954 41413 63908 79885 82826 159770 165652 207065 319540 414130 538369 828260 1076738 2153476 2691845 5383690 10767380 50896577 101793154 203586308 254482885 508965770 661655501 1017931540 1323311002 2646622004 3308277505 6616555010 13233110020