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132122012312106 = 23221881335455957
BaseRepresentation
bin11110000010101000001101…
…100111000110001000101010
3122022210202000012112210111100
4132002220031213012020222
5114304141340122441411
61145000003050142230
736554333426563215
oct3602501547061052
9568722005483440
10132122012312106
11391096a3599a93
121299a16a721976
13589508ab9c02b
14248aa4d33677c
151041be4022456
hex782a0d9c622a

132122012312106 has 24 divisors (see below), whose sum is σ = 286277443645284. Its totient is φ = 44038657903680.

The previous prime is 132122012312029. The next prime is 132122012312117. The reversal of 132122012312106 is 601213210221231.

It is a happy number.

132122012312106 is a `hidden beast` number, since 1 + 3 + 2 + 12 + 201 + 231 + 210 + 6 = 666.

132122012312106 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 2 ways, for example, as 131999763483225 + 122248828881 = 11489115^2 + 349641^2 .

It is a super-2 number, since 2×1321220123121062 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132122012312106.

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, 167334121 + ... + 168121836.

Almost surely, 2132122012312106 is an apocalyptic number.

132122012312106 is an abundant number, since it is smaller than the sum of its proper divisors (154155431333178).

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

132122012312106 is a wasteful number, since it uses less digits than its factorization.

132122012312106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335477846 (or 335477843 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132122012312106 its reverse (601213210221231), we get a palindrome (733335222533337).

The spelling of 132122012312106 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, twelve million, three hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 18 21881 43762 65643 131286 196929 393858 335455957 670911914 1006367871 2012735742 3019103613 6038207226 7340111795117 14680223590234 22020335385351 44040670770702 66061006156053 132122012312106