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132333213022340 = 22511282166605537
BaseRepresentation
bin11110000101101100111010…
…001001110111100010000100
3122100112221011010221111220112
4132011230322021313202010
5114321121410013203330
61145241012214252152
736605521245156131
oct3605547211674204
9570487133844815
10132333213022340
1139190222916600
1212a13091357058
1358abc7888b1a5
142496d66c13588
151047455980795
hex785b3a277884

132333213022340 has 72 divisors (see below), whose sum is σ = 305832115990296. Its totient is φ = 48062554777600.

The previous prime is 132333213022303. The next prime is 132333213022343. The reversal of 132333213022340 is 43220312333231.

It can be written as a sum of positive squares in 4 ways, for example, as 28835267543104 + 103497945479236 = 5369848^2 + 10173394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132333213022297 and 132333213022306.

It is not an unprimeable number, because it can be changed into a prime (132333213022343) 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 23 ways as a sum of consecutive naturals, for example, 31315949 + ... + 35289588.

It is an arithmetic number, because the mean of its divisors is an integer number (4247668277643).

Almost surely, 2132333213022340 is an apocalyptic number.

132333213022340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132333213022340 is an abundant number, since it is smaller than the sum of its proper divisors (173498902967956).

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

132333213022340 is a wasteful number, since it uses less digits than its factorization.

132333213022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66606389 (or 66606376 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 132333213022340 its reverse (43220312333231), we get a palindrome (175553525355571).

The spelling of 132333213022340 in words is "one hundred thirty-two trillion, three hundred thirty-three billion, two hundred thirteen million, twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 821 1210 1642 2420 3284 4105 8210 9031 16420 18062 36124 45155 90310 99341 180620 198682 397364 496705 993410 1986820 66605537 133211074 266422148 333027685 666055370 732660907 1332110740 1465321814 2930643628 3663304535 7326609070 8059269977 14653218140 16118539954 32237079908 40296349885 54683145877 80592699770 109366291754 161185399540 218732583508 273415729385 546831458770 601514604647 1093662917540 1203029209294 2406058418588 3007573023235 6015146046470 6616660651117 12030292092940 13233321302234 26466642604468 33083303255585 66166606511170 132333213022340