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211220200121000 = 2353724310616329
BaseRepresentation
bin110000000001101010001000…
…111111110110001010101000
31000200212110020220122220000212
4300001222020333312022220
5210141112432212333000
62025121115333520252
762330104314612200
oct6001521077661250
91020773226586025
10211220200121000
1161334a90518334
121b833a817a3088
1390b1c969a7105
143a2317dd77400
1519644c72b8c35
hexc01a88ff62a8

211220200121000 has 96 divisors (see below), whose sum is σ = 574950006095400. Its totient is φ = 72418354310400.

The previous prime is 211220200120961. The next prime is 211220200121071. The reversal of 211220200121000 is 121002022112.

It can be written as a sum of positive squares in 4 ways, for example, as 35397002413444 + 175823197707556 = 5949538^2 + 13259834^2 .

It is a super-2 number, since 2×2112202001210002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2155259165 + ... + 2155357164.

Almost surely, 2211220200121000 is an apocalyptic number.

211220200121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220200121000 is an abundant number, since it is smaller than the sum of its proper divisors (363729805974400).

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

211220200121000 is a wasteful number, since it uses less digits than its factorization.

211220200121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310616364 (or 4310616343 counting only the distinct ones).

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

Adding to 211220200121000 its reverse (121002022112), we get a palindrome (211341202143112).

The spelling of 211220200121000 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 4310616329 8621232658 17242465316 21553081645 30174314303 34484930632 43106163290 60348628606 86212326580 107765408225 120697257212 150871571515 172424653160 211220200121 215530816450 241394514424 301743143030 422440400242 431061632900 538827041125 603486286060 754357857575 844880800484 862123265800 1056101000605 1077654082250 1206972572120 1508715715150 1689761600968 2112202001210 2155308164500 3017431430300 3771789287875 4224404002420 4310616329000 5280505003025 6034862860600 7543578575750 8448808004840 10561010006050 15087157151500 21122020012100 26402525015125 30174314303000 42244040024200 52805050030250 105610100060500 211220200121000