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22131322101 = 3271013478127
BaseRepresentation
bin10100100111001000…
…010010110011110101
32010010100222122112100
4110213020102303311
5330311104301401
614100023012313
71412302063650
oct244710226365
963110878470
1022131322101
119427610949
12435789a099
132119111485
1410dd3a6897
15897e1db86
hex527212cf5

22131322101 has 24 divisors (see below), whose sum is σ = 36895981824. Its totient is φ = 12521253600.

The previous prime is 22131322093. The next prime is 22131322111. The reversal of 22131322101 is 10122313122.

It is not a de Polignac number, because 22131322101 - 23 = 22131322093 is a prime.

It is a super-2 number, since 2×221313221012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131322111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732701 + ... + 1745426.

It is an arithmetic number, because the mean of its divisors is an integer number (1537332576).

Almost surely, 222131322101 is an apocalyptic number.

22131322101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22131322101 is a deficient number, since it is larger than the sum of its proper divisors (14764659723).

22131322101 is a wasteful number, since it uses less digits than its factorization.

22131322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478241 (or 3478238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22131322101 its reverse (10122313122), we get a palindrome (32253635223).

The spelling of 22131322101 in words is "twenty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 3478127 10434381 24346889 31303143 73040667 219122001 351290827 1053872481 2459035789 3161617443 7377107367 22131322101