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22100313000 = 2335340118371
BaseRepresentation
bin10100100101010010…
…000000001110101000
32010001012122020001010
4110211102000032220
5330230140004000
614052554223520
71411444363263
oct244522001650
963035566033
1022100313000
119411061297
124349424ba0
1321128750ac
1410d9213cda
15895345d50
hex5254803a8

22100313000 has 128 divisors (see below), whose sum is σ = 69128691840. Its totient is φ = 5878400000.

The previous prime is 22100312999. The next prime is 22100313019. The reversal of 22100313000 is 31300122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193815 + ... + 1212185.

It is an arithmetic number, because the mean of its divisors is an integer number (540067905).

Almost surely, 222100313000 is an apocalyptic number.

22100313000 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 22100313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564345920).

22100313000 is an abundant number, since it is smaller than the sum of its proper divisors (47028378840).

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

22100313000 is a wasteful number, since it uses less digits than its factorization.

22100313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18796 (or 18782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22100313000 its reverse (31300122), we get a palindrome (22131613122).

The spelling of 22100313000 in words is "twenty-two billion, one hundred million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 401 500 600 750 802 1000 1203 1500 1604 2005 2406 3000 3208 4010 4812 6015 8020 9624 10025 12030 16040 18371 20050 24060 30075 36742 40100 48120 50125 55113 60150 73484 80200 91855 100250 110226 120300 146968 150375 183710 200500 220452 240600 275565 300750 367420 401000 440904 459275 551130 601500 734840 918550 1102260 1203000 1377825 1837100 2204520 2296375 2755650 3674200 4592750 5511300 6889125 7366771 9185500 11022600 13778250 14733542 18371000 22100313 27556500 29467084 36833855 44200626 55113000 58934168 73667710 88401252 110501565 147335420 176802504 184169275 221003130 294670840 368338550 442006260 552507825 736677100 884012520 920846375 1105015650 1473354200 1841692750 2210031300 2762539125 3683385500 4420062600 5525078250 7366771000 11050156500 22100313000