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22131003195 = 335723419051
BaseRepresentation
bin10100100111000111…
…000100111100111011
32010010100101110002000
4110213013010330323
5330311014100240
614100012112043
71412266265130
oct244707047473
963110343060
1022131003195
119427413294
124357765623
13211902c282
1410dd322587
15897da9430
hex5271c4f3b

22131003195 has 32 divisors (see below), whose sum is σ = 44964579840. Its totient is φ = 10117029600.

The previous prime is 22131003161. The next prime is 22131003197. The reversal of 22131003195 is 59130013122.

It is not a de Polignac number, because 22131003195 - 216 = 22130937659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22131003197) 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, 11708581 + ... + 11710470.

It is an arithmetic number, because the mean of its divisors is an integer number (1405143120).

Almost surely, 222131003195 is an apocalyptic number.

22131003195 is an abundant number, since it is smaller than the sum of its proper divisors (22833576645).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22131003195 is a wasteful number, since it uses less digits than its factorization.

22131003195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23419072 (or 23419066 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 22131003195 in words is "twenty-two billion, one hundred thirty-one million, three thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 23419051 70257153 117095255 163933357 210771459 351285765 491800071 632314377 819666785 1053857295 1475400213 2459000355 3161571885 4426200639 7377001065 22131003195