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22131001320 = 23354125117921
BaseRepresentation
bin10100100111000111…
…000100011111101000
32010010100101100111120
4110213013010133220
5330311014020240
614100012055240
71412266256511
oct244707043750
963110340446
1022131001320
11942741193a
124357764520
13211902b46c
1410dd321a08
15897da8ad0
hex5271c47e8

22131001320 has 128 divisors (see below), whose sum is σ = 68287121280. Its totient is φ = 5734400000.

The previous prime is 22131001313. The next prime is 22131001337. The reversal of 22131001320 is 2310013122.

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 22131001320.

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 31 ways as a sum of consecutive naturals, for example, 1225960 + ... + 1243880.

It is an arithmetic number, because the mean of its divisors is an integer number (533493135).

Almost surely, 222131001320 is an apocalyptic number.

22131001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34143560640).

22131001320 is an abundant number, since it is smaller than the sum of its proper divisors (46156119960).

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

22131001320 is a wasteful number, since it uses less digits than its factorization.

22131001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18227 (or 18223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22131001320 its reverse (2310013122), we get a palindrome (24441014442).

The spelling of 22131001320 in words is "twenty-two billion, one hundred thirty-one million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 251 328 410 492 502 615 753 820 984 1004 1230 1255 1506 1640 2008 2460 2510 3012 3765 4920 5020 6024 7530 10040 10291 15060 17921 20582 30120 30873 35842 41164 51455 53763 61746 71684 82328 89605 102910 107526 123492 143368 154365 179210 205820 215052 246984 268815 308730 358420 411640 430104 537630 617460 716840 734761 1075260 1234920 1469522 2150520 2204283 2939044 3673805 4408566 4498171 5878088 7347610 8817132 8996342 11021415 13494513 14695220 17634264 17992684 22042830 22490855 26989026 29390440 35985368 44085660 44981710 53978052 67472565 88171320 89963420 107956104 134945130 179926840 184425011 269890260 368850022 539780520 553275033 737700044 922125055 1106550066 1475400088 1844250110 2213100132 2766375165 3688500220 4426200264 5532750330 7377000440 11065500660 22131001320