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132022223132200 = 23522332833094917
BaseRepresentation
bin11110000001001011010001…
…101101100101011000101000
3122022110012102201121020001021
4132001023101231211120220
5114301023003110212300
61144442101053502224
736544201522545442
oct3601132155453050
9568405381536037
10132022223132200
1139080346167175
121298295b4a1974
135888846c6480b
142485ca42b3492
15103e30357cd1a
hex7812d1b65628

132022223132200 has 48 divisors (see below), whose sum is σ = 308269058027580. Its totient is φ = 52582241640960.

The previous prime is 132022223132197. The next prime is 132022223132251. The reversal of 132022223132200 is 2231322220231.

132022223132200 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 50889076460964 + 81133146671236 = 7133658^2 + 9007394^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416500859 + ... + 1416594058.

Almost surely, 2132022223132200 is an apocalyptic number.

132022223132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132022223132200 is an abundant number, since it is smaller than the sum of its proper divisors (176246834895380).

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

132022223132200 is a wasteful number, since it uses less digits than its factorization.

132022223132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833095166 (or 2833095157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 132022223132200 its reverse (2231322220231), we get a palindrome (134253545352431).

The spelling of 132022223132200 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred twenty-three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 932 1165 1864 2330 4660 5825 9320 11650 23300 46600 2833094917 5666189834 11332379668 14165474585 22664759336 28330949170 56661898340 70827372925 113323796680 141654745850 283309491700 566618983400 660111115661 1320222231322 2640444462644 3300555578305 5280888925288 6601111156610 13202222313220 16502777891525 26404444626440 33005555783050 66011111566100 132022223132200