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132122113300333 = 1333158752307753
BaseRepresentation
bin11110000010101000010011…
…101000010101011101101101
3122022210202021020120112022001
4132002220103220111131231
5114304142042001102313
61145000021054452301
736554336064142432
oct3602502350253555
9568722236515261
10132122113300333
11391097455a5a32
121299a198504091
1358950a5a9a590
14248aa5c903b89
151041becd1eadd
hex782a13a1576d

132122113300333 has 16 divisors (see below), whose sum is σ = 142958347068096. Its totient is φ = 121383276981120.

The previous prime is 132122113300267. The next prime is 132122113300337. The reversal of 132122113300333 is 333003311221231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132122113300333 - 229 = 132121576429421 is a prime.

It is a super-4 number, since 4×1321221133003334 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122113300337) by changing a digit.

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, 23628016 + ... + 28679737.

It is an arithmetic number, because the mean of its divisors is an integer number (8934896691756).

Almost surely, 2132122113300333 is an apocalyptic number.

132122113300333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132122113300333 is a deficient number, since it is larger than the sum of its proper divisors (10836233767763).

132122113300333 is a wasteful number, since it uses less digits than its factorization.

132122113300333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52308684.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 132122113300333 its reverse (333003311221231), we get a palindrome (465125424521564).

The spelling of 132122113300333 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred thirteen million, three hundred thousand, three hundred thirty-three".

Divisors: 1 13 331 587 4303 7631 194297 2525861 52307753 680000789 17313866243 30704651011 225080261159 399160463143 10163239484641 132122113300333