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22131033132123 = 32103116212054369
BaseRepresentation
bin1010000100000110010000…
…10111100100110001011011
32220100201001202021011002100
411002003020113210301123
510400043323440211443
6115022504541534443
74442625426540216
oct502031027446133
986321052234070
1022131033132123
11706279a280453
122595186274423
13c46c4178a5c6
1456720d4aa77d
15285a2b7503d3
hex1420c85e4c5b

22131033132123 has 24 divisors (see below), whose sum is σ = 32280200765280. Its totient is φ = 14609514769920.

The previous prime is 22131033132119. The next prime is 22131033132157. The reversal of 22131033132123 is 32123133013122.

22131033132123 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 0 + 331 + 321 + 2 + 3 = 666.

It is not a de Polignac number, because 22131033132123 - 22 = 22131033132119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22131033130123) 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 23 ways as a sum of consecutive naturals, for example, 9745483 + ... + 11799851.

It is an arithmetic number, because the mean of its divisors is an integer number (1345008365220).

Almost surely, 222131033132123 is an apocalyptic number.

22131033132123 is a deficient number, since it is larger than the sum of its proper divisors (10149167633157).

22131033132123 is a wasteful number, since it uses less digits than its factorization.

22131033132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066099 (or 2066096 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22131033132123 its reverse (32123133013122), we get a palindrome (54254166145245).

The spelling of 22131033132123 in words is "twenty-two trillion, one hundred thirty-one billion, thirty-three million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 103 309 927 11621 34863 104589 1196963 2054369 3590889 6163107 10772667 18489321 211600007 634800021 1904400063 23873822149 71621466447 214864399341 2459003681347 7377011044041 22131033132123