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133122434042034 = 23210734768895179
BaseRepresentation
bin11110010001001011111011…
…011001001000100010110010
3122110100101021022112022200100
4132101023323121020202302
5114422034221103321114
61151043334003533230
740016531005146453
oct3621137331104262
9573311238468610
10133122434042034
11394649a8581908
1212b2002998a216
135938512646ab8
1424c323579d12a
15105cc477e0909
hex7912fb6488b2

133122434042034 has 24 divisors (see below), whose sum is σ = 288434631522960. Its totient is φ = 44373730665528.

The previous prime is 133122434042027. The next prime is 133122434042041. The reversal of 133122434042034 is 430240434221331.

133122434042034 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 2 + 43 + 404 + 203 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (133122434042027) and next prime (133122434042041).

It is a self number, because there is not a number n which added to its sum of digits gives 133122434042034.

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 11 ways as a sum of consecutive naturals, for example, 32515344 + ... + 36379835.

It is an arithmetic number, because the mean of its divisors is an integer number (12018109646790).

Almost surely, 2133122434042034 is an apocalyptic number.

133122434042034 is an abundant number, since it is smaller than the sum of its proper divisors (155312197480926).

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

133122434042034 is a wasteful number, since it uses less digits than its factorization.

133122434042034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69002534 (or 69002531 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 133122434042034 its reverse (430240434221331), we get a palindrome (563362868263365).

The spelling of 133122434042034 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, four hundred thirty-four million, forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 107347 214694 322041 644082 966123 1932246 68895179 137790358 206685537 413371074 620056611 1240113222 7395690780113 14791381560226 22187072340339 44374144680678 66561217021017 133122434042034