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100366081011 = 3273438146337
BaseRepresentation
bin101110101111001001…
…0001101101111110011
3100121001200111011222200
41131132102031233303
53121022204043021
6114035121234243
710152110420040
oct1353622155763
9317050434880
10100366081011
1139624044199
1217550492983
139606606321
144c019161c7
15292644d126
hex175e48dbf3

100366081011 has 24 divisors (see below), whose sum is σ = 165692084064. Its totient is φ = 57349140480.

The previous prime is 100366081007. The next prime is 100366081097. The reversal of 100366081011 is 110180663001.

100366081011 is a `hidden beast` number, since 1 + 0 + 0 + 36 + 608 + 10 + 11 = 666.

It is not a de Polignac number, because 100366081011 - 22 = 100366081007 is a prime.

It is a super-2 number, since 2×1003660810112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100366086011) 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, 2142835 + ... + 2189171.

It is an arithmetic number, because the mean of its divisors is an integer number (6903836836).

Almost surely, 2100366081011 is an apocalyptic number.

100366081011 is a deficient number, since it is larger than the sum of its proper divisors (65326003053).

100366081011 is a wasteful number, since it uses less digits than its factorization.

100366081011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80731 (or 80728 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 100366081011 in words is "one hundred billion, three hundred sixty-six million, eighty-one thousand, eleven".

Divisors: 1 3 7 9 21 63 34381 46337 103143 139011 240667 309429 324359 417033 722001 973077 2166003 2919231 1593112397 4779337191 11151786779 14338011573 33455360337 100366081011