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220031220132 = 2232101541111857
BaseRepresentation
bin1100110011101011100…
…0011111100110100100
3210000221100120002201100
43030322320133212210
512101110443021012
6245025252400100
721616402340463
oct3147270374644
9700840502640
10220031220132
1185350984389
1236788016030
1317997308259
14a9145b29da
155acbd0a8dc
hex333ae1f9a4

220031220132 has 72 divisors (see below), whose sum is σ = 562740148152. Its totient is φ = 72482688000.

The previous prime is 220031220131. The next prime is 220031220151. The reversal of 220031220132 is 231022130022.

220031220132 is a `hidden beast` number, since 2 + 200 + 312 + 20 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33453873216 + 186577346916 = 182904^2 + 431946^2 .

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 (220031220131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911148 + ... + 2023004.

It is an arithmetic number, because the mean of its divisors is an integer number (7815835391).

Almost surely, 2220031220132 is an apocalyptic number.

It is an amenable number.

220031220132 is an abundant number, since it is smaller than the sum of its proper divisors (342708928020).

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

220031220132 is a wasteful number, since it uses less digits than its factorization.

220031220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112509 (or 112504 counting only the distinct ones).

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

Adding to 220031220132 its reverse (231022130022), we get a palindrome (451053350154).

The spelling of 220031220132 in words is "two hundred twenty billion, thirty-one million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 541 606 909 1082 1212 1623 1818 2164 3246 3636 4869 6492 9738 19476 54641 109282 111857 163923 218564 223714 327846 335571 447428 491769 655692 671142 983538 1006713 1342284 1967076 2013426 4026852 11297557 22595114 33892671 45190228 60514637 67785342 101678013 121029274 135570684 181543911 203356026 242058548 363087822 406712052 544631733 726175644 1089263466 2178526932 6111978337 12223956674 18335935011 24447913348 36671870022 55007805033 73343740044 110015610066 220031220132