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100022004131 = 746170943717
BaseRepresentation
bin101110100100111000…
…1101010100110100011
3100120011201001021020112
41131021301222212203
53114321113113011
6113541030401535
710140432002330
oct1351161524643
9316151037215
10100022004131
11394678a5135
12174752002ab
13958024513a
144babd4b987
15290613458b
hex1749c6a9a3

100022004131 has 16 divisors (see below), whose sum is σ = 114723026880. Its totient is φ = 85424561280.

The previous prime is 100022004107. The next prime is 100022004139. The reversal of 100022004131 is 131400220001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100022004131 is a prime.

It is a super-2 number, since 2×1000220041312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022004139) 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, 2266085 + ... + 2309801.

It is an arithmetic number, because the mean of its divisors is an integer number (7170189180).

Almost surely, 2100022004131 is an apocalyptic number.

100022004131 is a deficient number, since it is larger than the sum of its proper divisors (14701022749).

100022004131 is an equidigital number, since it uses as much as digits as its factorization.

100022004131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44894.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100022004131 its reverse (131400220001), we get a palindrome (231422224132).

The spelling of 100022004131 in words is "one hundred billion, twenty-two million, four thousand, one hundred thirty-one".

Divisors: 1 7 461 709 3227 4963 43717 306019 326849 2287943 20153537 30995353 141074759 216967471 14288857733 100022004131