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211121102220 = 22357502669291
BaseRepresentation
bin1100010010011111001…
…1000101110110001100
3202011221101121012202020
43010213303011312030
511424334000232340
6240553201530140
721152530521360
oct3044763056614
9664841535666
10211121102220
11815993a3976
1234b00043950
1316ba7368332
14a30b0b72a0
1557599859d0
hex3127cc5d8c

211121102220 has 48 divisors (see below), whose sum is σ = 675587528448. Its totient is φ = 48256251840.

The previous prime is 211121102207. The next prime is 211121102233. The reversal of 211121102220 is 22201121112.

211121102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211121102207) and next prime (211121102233).

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 211121102220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251334226 + ... + 251335065.

It is an arithmetic number, because the mean of its divisors is an integer number (14074740176).

Almost surely, 2211121102220 is an apocalyptic number.

211121102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121102220 is an abundant number, since it is smaller than the sum of its proper divisors (464466426228).

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

211121102220 is a wasteful number, since it uses less digits than its factorization.

211121102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502669310 (or 502669308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211121102220 its reverse (22201121112), we get a palindrome (233322223332).

The spelling of 211121102220 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 502669291 1005338582 1508007873 2010677164 2513346455 3016015746 3518685037 5026692910 6032031492 7037370074 7540039365 10053385820 10556055111 14074740148 15080078730 17593425185 21112110222 30160157460 35186850370 42224220444 52780275555 70373700740 105560551110 211121102220