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122132133313032 = 23359456118910657
BaseRepresentation
bin11011110001010000011010…
…011010111111101000001000
3121000102201101100202122212010
4123301100122122333220020
5112002003102112004112
61111430421045215520
734503520055261133
oct3361203232775010
9530381340678763
10122132133313032
1135a07a46305847
12118460384015a0
13531c01a81866b
14222332646721a
15e1be0c8de63c
hex6f141a6bfa08

122132133313032 has 64 divisors (see below), whose sum is σ = 310573518465600. Its totient is φ = 40011922391040.

The previous prime is 122132133313007. The next prime is 122132133313109. The reversal of 122132133313032 is 230313331231221.

It is an unprimeable number.

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, 2996953 + ... + 15913704.

It is an arithmetic number, because the mean of its divisors is an integer number (4852711226025).

Almost surely, 2122132133313032 is an apocalyptic number.

122132133313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122132133313032 is an abundant number, since it is smaller than the sum of its proper divisors (188441385152568).

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

122132133313032 is a wasteful number, since it uses less digits than its factorization.

122132133313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18915286 (or 18915282 counting only the distinct ones).

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

Adding to 122132133313032 its reverse (230313331231221), we get a palindrome (352445464544253).

The spelling of 122132133313032 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 4561 9122 13683 18244 27366 36488 54732 109464 269099 538198 807297 1076396 1614594 2152792 3229188 6458376 18910657 37821314 56731971 75642628 113463942 151285256 226927884 453855768 1115728763 2231457526 3347186289 4462915052 6694372578 8925830104 13388745156 26777490312 86251506577 172503013154 258754519731 345006026308 517509039462 690012052616 1035018078924 2070036157848 5088838888043 10177677776086 15266516664129 20355355552172 30533033328258 40710711104344 61066066656516 122132133313032