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132123133321201 = 11347130326565151
BaseRepresentation
bin11110000010101001010000…
…011011011001111111110001
3122022210211220022220221212201
4132002221100123121333301
5114304201134112234301
61145000310213223201
736554403261160261
oct3602512033317761
9568724808827781
10132123133321201
113910a119353790
121299a422031b01
1358952091c7519
14248ab181837a1
151041c5c658201
hex782a506d9ff1

132123133321201 has 16 divisors (see below), whose sum is σ = 144660641476608. Its totient is φ = 119673875538000.

The previous prime is 132123133321117. The next prime is 132123133321279. The reversal of 132123133321201 is 102123331321231.

It is a cyclic number.

It is not a de Polignac number, because 132123133321201 - 219 = 132123132796913 is a prime.

It is a super-2 number, since 2×1321231333212012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132123133321201.

It is not an unprimeable number, because it can be changed into a prime (132123133321601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8309025 + ... + 18256126.

It is an arithmetic number, because the mean of its divisors is an integer number (9041290092288).

Almost surely, 2132123133321201 is an apocalyptic number.

132123133321201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132123133321201 is a deficient number, since it is larger than the sum of its proper divisors (12537508155407).

132123133321201 is a wasteful number, since it uses less digits than its factorization.

132123133321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26566812.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 132123133321201 its reverse (102123331321231), we get a palindrome (234246464642432).

The spelling of 132123133321201 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred twenty-one thousand, two hundred one".

Divisors: 1 11 347 1303 3817 14333 452141 4973551 26565151 292216661 9218107397 34614391753 101399181367 380758309283 12011193938291 132123133321201