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122666642601 = 32331487117757
BaseRepresentation
bin111001000111110000…
…0000110110010101001
3102201121211221002110020
41302033200012302221
54002210130030401
6132204031511053
711601536154426
oct1621740066251
9381554832406
10122666642601
1148028138188
121b934988489
13b74b7c18b9
145d19574d4d
1532ce14bd36
hex1c8f806ca9

122666642601 has 32 divisors (see below), whose sum is σ = 176535257088. Its totient is φ = 75542829120.

The previous prime is 122666642599. The next prime is 122666642629. The reversal of 122666642601 is 106246666221.

It is not a de Polignac number, because 122666642601 - 21 = 122666642599 is a prime.

It is a super-3 number, since 3×1226666426013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122666643601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982815 + ... + 1100571.

It is an arithmetic number, because the mean of its divisors is an integer number (5516726784).

Almost surely, 2122666642601 is an apocalyptic number.

It is an amenable number.

122666642601 is a deficient number, since it is larger than the sum of its proper divisors (53868614487).

122666642601 is a wasteful number, since it uses less digits than its factorization.

122666642601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118301.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 122666642601 in words is "one hundred twenty-two billion, six hundred sixty-six million, six hundred forty-two thousand, six hundred one".

Divisors: 1 3 23 31 69 93 487 713 1461 2139 11201 15097 33603 45291 117757 347231 353271 1041693 2708411 3650467 8125233 10951401 57347659 83960741 172042977 251882223 1318996157 1777777429 3956988471 5333332287 40888880867 122666642601