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100032231121 = 47139109314009
BaseRepresentation
bin101110100101001100…
…0101011011011010001
3100120012102021212000221
41131022120223123101
53114331222343441
6113542033513041
710140614635534
oct1351230533321
9316172255027
10100032231121
113947264a899
1217478712781
1395823b6104
144bad450a1b
152906ea48d1
hex174a62b6d1

100032231121 has 16 divisors (see below), whose sum is σ = 102997036800. Its totient is φ = 97103680128.

The previous prime is 100032231059. The next prime is 100032231139. The reversal of 100032231121 is 121132230001.

It is a cyclic number.

It is not a de Polignac number, because 100032231121 - 27 = 100032230993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100032231095 and 100032231104.

It is not an unprimeable number, because it can be changed into a prime (100032232121) 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, 7133565 + ... + 7147573.

It is an arithmetic number, because the mean of its divisors is an integer number (6437314800).

Almost surely, 2100032231121 is an apocalyptic number.

It is an amenable number.

100032231121 is a deficient number, since it is larger than the sum of its proper divisors (2964805679).

100032231121 is a wasteful number, since it uses less digits than its factorization.

100032231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100032231121 its reverse (121132230001), we get a palindrome (221164461122).

The spelling of 100032231121 in words is "one hundred billion, thirty-two million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 47 139 1093 6533 14009 51371 151927 658423 1947251 7140569 15311837 91520797 719656339 2128345343 100032231121