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100431322221 = 32347167185441
BaseRepresentation
bin101110110001000101…
…1000101110001101101
3100121020020020210002210
41131202023011301231
53121140404302341
6114045411441033
710153532103456
oct1354213056155
9317206223083
10100431322221
113965795494a
121756a2b6179
139616c99aa9
144c0a45a12d
15292c038c16
hex17622c5c6d

100431322221 has 32 divisors (see below), whose sum is σ = 143558811648. Its totient is φ = 62304872960.

The previous prime is 100431322217. The next prime is 100431322249. The reversal of 100431322221 is 122223134001.

It is not a de Polignac number, because 100431322221 - 22 = 100431322217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431324221) 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 31 ways as a sum of consecutive naturals, for example, 448861 + ... + 634301.

It is an arithmetic number, because the mean of its divisors is an integer number (4486212864).

Almost surely, 2100431322221 is an apocalyptic number.

It is an amenable number.

100431322221 is a deficient number, since it is larger than the sum of its proper divisors (43127489427).

100431322221 is a wasteful number, since it uses less digits than its factorization.

100431322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185681.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100431322221 its reverse (122223134001), we get a palindrome (222654456222).

The spelling of 100431322221 in words is "one hundred billion, four hundred thirty-one million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 23 47 69 141 167 501 1081 3243 3841 7849 11523 23547 180527 185441 541581 556323 4265143 8715727 12795429 26147181 30968647 92905941 200461721 601385163 712278881 1455526409 2136836643 4366579227 33477107407 100431322221