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132153261453101 = 7311092137374149
BaseRepresentation
bin11110000011000101010100…
…001101000110111100101101
3122022220201200000022122011202
4132003011110031012330231
5114310144334412444401
61145022211543455245
736556521005106440
oct3603052415067455
9568821600278152
10132153261453101
1139120979953149
12129a422ba57525
135897ccaca29c5
14248c375623657
15104292264206b
hex783154346f2d

132153261453101 has 48 divisors (see below), whose sum is σ = 158496692659200. Its totient is φ = 107821431866880.

The previous prime is 132153261453079. The next prime is 132153261453127. The reversal of 132153261453101 is 101354162351231.

It is not a de Polignac number, because 132153261453101 - 218 = 132153261190957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153261453181) 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 47 ways as a sum of consecutive naturals, for example, 353023175 + ... + 353397323.

It is an arithmetic number, because the mean of its divisors is an integer number (3302014430400).

Almost surely, 2132153261453101 is an apocalyptic number.

It is an amenable number.

132153261453101 is a deficient number, since it is larger than the sum of its proper divisors (26343431206099).

132153261453101 is a wasteful number, since it uses less digits than its factorization.

132153261453101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374542 (or 374433 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 132153261453101 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, two hundred sixty-one million, four hundred fifty-three thousand, one hundred one".

Divisors: 1 7 31 109 137 217 763 959 3379 4247 11881 14933 23653 29729 83167 104531 368311 374149 462923 1627697 2578177 2619043 3240461 11393879 11598619 40782241 50458607 51258413 81190333 285475687 353210249 358808891 1264249471 1589010803 4445264269 5587167017 8849746297 11123075621 31116849883 39110169119 137803192339 173202177527 609001204853 964622346373 1212415242689 4263008433971 18879037350443 132153261453101