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200122122100100 = 225217148379378891
BaseRepresentation
bin101101100000001010001111…
…111111111101110110000100
3222020120111011202220112010212
4231200022033333331312010
5202212300101224200400
61545342500025534552
760103226513120624
oct5540121777756604
9866514152815125
10200122122100100
1158846351830702
121a541011944458
138788587001385
14375bd68b2a884
1518209804c5335
hexb6028fffdd84

200122122100100 has 72 divisors (see below), whose sum is σ = 460120064993568. Its totient is φ = 75289289587200.

The previous prime is 200122122100099. The next prime is 200122122100139. The reversal of 200122122100100 is 1001221221002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37168346 + ... + 42210545.

It is an arithmetic number, because the mean of its divisors is an integer number (6390556458244).

Almost surely, 2200122122100100 is an apocalyptic number.

200122122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122122100100 is an abundant number, since it is smaller than the sum of its proper divisors (259997942893468).

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

200122122100100 is a wasteful number, since it uses less digits than its factorization.

200122122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79380405 (or 79380398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200122122100100 its reverse (1001221221002), we get a palindrome (201123343321102).

The spelling of 200122122100100 in words is "two hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1483 1700 2966 5932 7415 14830 25211 29660 37075 50422 74150 100844 126055 148300 252110 504220 630275 1260550 2521100 79378891 158757782 317515564 396894455 793788910 1349441147 1587577820 1984472275 2698882294 3968944550 5397764588 6747205735 7937889100 13494411470 26988822940 33736028675 67472057350 117718895353 134944114700 235437790706 470875581412 588594476765 1177188953530 2001221221001 2354377907060 2942972383825 4002442442002 5885944767650 8004884884004 10006106105005 11771889535300 20012212210010 40024424420020 50030530525025 100061061050050 200122122100100