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132012213032101 = 2923373326653621
BaseRepresentation
bin11110000001000001111101…
…000100000101010010100101
3122022102020121002211110012011
4132001001331010011102211
5114300342003014011401
61144433323510354221
736543365463236233
oct3601017504052245
9568366532743164
10132012213032101
1139077079783876
1212980a2705b971
13588791014c06c
1424855d4a81953
15103de19877451
hex78107d1054a5

132012213032101 has 16 divisors (see below), whose sum is σ = 137337585006960. Its totient is φ = 126739882160640.

The previous prime is 132012213032099. The next prime is 132012213032107. The reversal of 132012213032101 is 101230312210231.

It can be written as a sum of positive squares in 8 ways, for example, as 305144655201 + 131707068376900 = 552399^2 + 11476370^2 .

It is not a de Polignac number, because 132012213032101 - 21 = 132012213032099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012213032107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8373930 + ... + 18279691.

It is an arithmetic number, because the mean of its divisors is an integer number (8583599062935).

Almost surely, 2132012213032101 is an apocalyptic number.

It is an amenable number.

132012213032101 is a deficient number, since it is larger than the sum of its proper divisors (5325371974859).

132012213032101 is a wasteful number, since it uses less digits than its factorization.

132012213032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26654616.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 132012213032101 its reverse (101230312210231), we get a palindrome (233242525242332).

The spelling of 132012213032101 in words is "one hundred thirty-two trillion, twelve billion, two hundred thirteen million, thirty-two thousand, one hundred one".

Divisors: 1 29 233 733 6757 21257 170789 4952881 26653621 772955009 6210293693 19537104193 180098517097 566576021597 4552145276969 132012213032101