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232133120200 = 235211310271377
BaseRepresentation
bin1101100000110000110…
…1100101000011001000
3211012011202102022200101
43120030031211003020
512300402034321300
6254350202215144
722525321652122
oct3301415450310
9735152368611
10232133120200
118a4a1104a93
1238ba4ab44b4
1318b755ca377
14b341958212
1560894a8b6a
hex360c3650c8

232133120200 has 48 divisors (see below), whose sum is σ = 544485747780. Its totient is φ = 92031528960.

The previous prime is 232133120183. The next prime is 232133120201. The reversal of 232133120200 is 2021331232.

232133120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14952887524 + 217180232676 = 122282^2 + 466026^2 .

It is not an unprimeable number, because it can be changed into a prime (232133120201) 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, 5113089 + ... + 5158288.

Almost surely, 2232133120200 is an apocalyptic number.

232133120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232133120200 is an abundant number, since it is smaller than the sum of its proper divisors (312352627580).

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

232133120200 is a wasteful number, since it uses less digits than its factorization.

232133120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271506 (or 10271497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 232133120200 its reverse (2021331232), we get a palindrome (234154451432).

It can be divided in two parts, 23213 and 3120200, that added together give a palindrome (3143413).

The spelling of 232133120200 in words is "two hundred thirty-two billion, one hundred thirty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 10271377 20542754 41085508 51356885 82171016 102713770 205427540 256784425 410855080 513568850 1027137700 1160665601 2054275400 2321331202 4642662404 5803328005 9285324808 11606656010 23213312020 29016640025 46426624040 58033280050 116066560100 232133120200