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100001331021 = 3711572990381
BaseRepresentation
bin101110100100010001…
…0110011011101001101
3100120010021010222001210
41131020202303131031
53114300320043041
6113535011325033
710140061201014
oct1351042633515
9316107128053
10100001331021
1139457165119
121746a2b0779
139578b87527
144ba92c9a7b
1529043ee016
hex17488b374d

100001331021 has 16 divisors (see below), whose sum is σ = 136074342528. Its totient is φ = 65309899200.

The previous prime is 100001331013. The next prime is 100001331071. The reversal of 100001331021 is 120133100001.

It is not a de Polignac number, because 100001331021 - 23 = 100001331013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001330988 and 100001331006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001331071) 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, 1461750 + ... + 1528631.

It is an arithmetic number, because the mean of its divisors is an integer number (8504646408).

Almost surely, 2100001331021 is an apocalyptic number.

It is an amenable number.

100001331021 is a deficient number, since it is larger than the sum of its proper divisors (36073011507).

100001331021 is a wasteful number, since it uses less digits than its factorization.

100001331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990612.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100001331021 its reverse (120133100001), we get a palindrome (220134431022).

The spelling of 100001331021 in words is "one hundred billion, one million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 3 71 157 213 471 11147 33441 2990381 8971143 212317051 469489817 636951153 1408469451 33333777007 100001331021