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132220122566142 = 23139369671809167
BaseRepresentation
bin11110000100000011100101…
…011100000000110111111110
3122100011010020200022002121210
4132010003211130000313332
5114312243302334104032
61145113030305305250
736564405616150242
oct3604034534006776
9570133220262553
10132220122566142
113914726a242a66
12129b518b635226
1358a13c50282a0
1424916b93dc422
1510445373c72cc
hex7840e5700dfe

132220122566142 has 32 divisors (see below), whose sum is σ = 284782263800832. Its totient is φ = 40683048728544.

The previous prime is 132220122566011. The next prime is 132220122566239. The reversal of 132220122566142 is 241665221022231.

It is a super-2 number, since 2×1322201225661422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 132220122566142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72178843 + ... + 73988009.

It is an arithmetic number, because the mean of its divisors is an integer number (8899445743776).

Almost surely, 2132220122566142 is an apocalyptic number.

132220122566142 is an abundant number, since it is smaller than the sum of its proper divisors (152562141234690).

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

132220122566142 is a wasteful number, since it uses less digits than its factorization.

132220122566142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746152.

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 132220122566142 its reverse (241665221022231), we get a palindrome (373885343588373).

The spelling of 132220122566142 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-two million, five hundred sixty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 936967 1809167 1873934 2810901 3618334 5427501 5621802 10855002 12180571 23519171 24361142 36541713 47038342 70557513 73083426 141115026 1695129776489 3390259552978 5085389329467 10170778658934 22036687094357 44073374188714 66110061283071 132220122566142