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22101211320 = 23351153159737
BaseRepresentation
bin10100100101010101…
…011011100010111000
32010001021022212022020
4110211111123202320
5330230402230240
614053025354440
71411455124266
oct244525334270
963037285266
1022101211320
119411615201
124349798a20
132112acac46
1410d93a9436
158954720d0
hex52555b8b8

22101211320 has 64 divisors (see below), whose sum is σ = 66361554720. Its totient is φ = 5888507904.

The previous prime is 22101211303. The next prime is 22101211367. The reversal of 22101211320 is 2311210122.

It is a super-2 number, since 2×221012113202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22101211320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58492 + ... + 218228.

Almost surely, 222101211320 is an apocalyptic number.

22101211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101211320 is an abundant number, since it is smaller than the sum of its proper divisors (44260343400).

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

22101211320 is a wasteful number, since it uses less digits than its factorization.

22101211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160904 (or 160900 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22101211320 its reverse (2311210122), we get a palindrome (24412421442).

The spelling of 22101211320 in words is "twenty-two billion, one hundred one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1153 2306 3459 4612 5765 6918 9224 11530 13836 17295 23060 27672 34590 46120 69180 138360 159737 319474 479211 638948 798685 958422 1277896 1597370 1916844 2396055 3194740 3833688 4792110 6389480 9584220 19168440 184176761 368353522 552530283 736707044 920883805 1105060566 1473414088 1841767610 2210121132 2762651415 3683535220 4420242264 5525302830 7367070440 11050605660 22101211320