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132021014314319 = 1383435792807659
BaseRepresentation
bin11110000001001010001001…
…101010010011110101001111
3122022110002022110222220122122
4132001022021222103311033
5114301013014131024234
61144441341112403155
736544126544013164
oct3601121152236517
9568402273886578
10132021014314319
113907a885888429
12129826826a64bb
1358886b36a3870
142485bcb92a06b
15103e28239e92e
hex781289a93d4f

132021014314319 has 16 divisors (see below), whose sum is σ = 143892799612800. Its totient is φ = 120394486398816.

The previous prime is 132021014314309. The next prime is 132021014314339. The reversal of 132021014314319 is 913413410120231.

It is a cyclic number.

It is not a de Polignac number, because 132021014314319 - 228 = 132020745878863 is a prime.

It is a super-2 number, since 2×1320210143143192 (a number of 29 digits) contains 22 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 (132021014314309) 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, 45617912 + ... + 48425570.

It is an arithmetic number, because the mean of its divisors is an integer number (8993299975800).

Almost surely, 2132021014314319 is an apocalyptic number.

132021014314319 is a deficient number, since it is larger than the sum of its proper divisors (11871785298481).

132021014314319 is a wasteful number, since it uses less digits than its factorization.

132021014314319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851334.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 132021014314319 in words is "one hundred thirty-two trillion, twenty-one billion, fourteen million, three hundred fourteen thousand, three hundred nineteen".

Divisors: 1 13 83 1079 43579 566527 2807659 3617057 36499567 47021741 233035697 3029464061 122354971561 1590614630293 10155462639563 132021014314319