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132213313323102 = 231119227464463719
BaseRepresentation
bin11110000011111101001111…
…100100110100000001011110
3122100010110200010111201012010
4132003331033210310001132
5114312140331202314402
61145105542503452050
736564045104430564
oct3603751744640136
9570113603451163
10132213313323102
1139144395638980
12129b39ab157026
1358a087b3c14ab
142491230d39a34
1510442896dda6c
hex783f4f93405e

132213313323102 has 64 divisors (see below), whose sum is σ = 304985457100800. Its totient is φ = 37788768096480.

The previous prime is 132213313323067. The next prime is 132213313323107. The reversal of 132213313323102 is 201323313312231.

It is a self number, because there is not a number n which added to its sum of digits gives 132213313323102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213313323107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231947202 + ... + 232516517.

It is an arithmetic number, because the mean of its divisors is an integer number (4765397767200).

Almost surely, 2132213313323102 is an apocalyptic number.

132213313323102 is an abundant number, since it is smaller than the sum of its proper divisors (172772143777698).

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

132213313323102 is a wasteful number, since it uses less digits than its factorization.

132213313323102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464463981.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 132213313323102 its reverse (201323313312231), we get a palindrome (333536626635333).

The spelling of 132213313323102 in words is "one hundred thirty-two trillion, two hundred thirteen billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 227 418 454 627 681 1254 1362 2497 4313 4994 7491 8626 12939 14982 25878 47443 94886 142329 284658 464463719 928927438 1393391157 2786782314 5109100909 8824810661 10218201818 15327302727 17649621322 26474431983 30654605454 52948863966 97072917271 105433264213 194145834542 210866528426 291218751813 316299792639 582437503626 632599585278 1159765906343 2003232020047 2319531812686 3479297719029 4006464040094 6009696060141 6958595438058 12019392120282 22035552220517 44071104441034 66106656661551 132213313323102