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132220304306136 = 23323598521600317
BaseRepresentation
bin11110000100000011110000…
…010001010010111111011000
3122100011010201100021110000200
4132010003300101102333120
5114312244140400244021
61145113100320502200
736564413254003404
oct3604036021227730
9570133640243020
10132220304306136
1139147352893a02
12129b522047a960
1358a142388b147
1424916d55ca104
151044548326126
hex7840f0452fd8

132220304306136 has 96 divisors (see below), whose sum is σ = 359136881719200. Its totient is φ = 43945436413440.

The previous prime is 132220304306117. The next prime is 132220304306141. The reversal of 132220304306136 is 631603403022231.

132220304306136 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 0 + 3 + 0 + 4 + 30 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132220304306136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219950650 + ... + 220550966.

It is an arithmetic number, because the mean of its divisors is an integer number (3741009184575).

Almost surely, 2132220304306136 is an apocalyptic number.

It is an amenable number.

132220304306136 is an abundant number, since it is smaller than the sum of its proper divisors (226916577413064).

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

132220304306136 is a wasteful number, since it uses less digits than its factorization.

132220304306136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609209 (or 609202 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 132220304306136 its reverse (631603403022231), we get a palindrome (763823707328367).

The spelling of 132220304306136 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred four million, three hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 359 718 1077 1436 2154 2872 3231 4308 6462 8521 8616 12924 17042 25563 25848 34084 51126 68168 76689 102252 153378 204504 306756 600317 613512 1200634 1800951 2401268 3059039 3601902 4802536 5402853 6118078 7203804 9177117 10805706 12236156 14407608 18354234 21611412 24472312 27531351 36708468 43222824 55062702 73416936 110125404 215513803 220250808 431027606 646541409 862055212 1293082818 1724110424 1939624227 2586165636 3879248454 5115301157 5172331272 7758496908 10230602314 15345903471 15516993816 20461204628 30691806942 40922409256 46037710413 61383613884 92075420826 122767227768 184150841652 368301683304 1836393115363 3672786230726 5509179346089 7345572461452 11018358692178 14691144922904 16527538038267 22036717384356 33055076076534 44073434768712 66110152153068 132220304306136