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211120200000020 = 22546789119253637
BaseRepresentation
bin110000000000001101000000…
…100001101010001000010100
31000200111220010201210101211102
4300000031000201222020110
5210132443132200000040
62025003140404125232
762316634236611033
oct6000150041521024
91020456121711742
10211120200000020
11612a663500a353
121b818613996818
1390a571b1545ac
143a1c3b4cc471a
151961ac3058515
hexc0034086a214

211120200000020 has 48 divisors (see below), whose sum is σ = 444308520015360. Its totient is φ = 84265971202944.

The previous prime is 211120199999909. The next prime is 211120200000041. The reversal of 211120200000020 is 20000002021112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211120199999947 and 211120200000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832244642 + ... + 832498278.

It is an arithmetic number, because the mean of its divisors is an integer number (9256427500320).

Almost surely, 2211120200000020 is an apocalyptic number.

211120200000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200000020 is an abundant number, since it is smaller than the sum of its proper divisors (233188320015340).

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

211120200000020 is a wasteful number, since it uses less digits than its factorization.

211120200000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343232 (or 343230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211120200000020 its reverse (20000002021112), we get a palindrome (231120202021132).

The spelling of 211120200000020 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 467 934 1868 2335 4670 9340 89119 178238 253637 356476 445595 507274 891190 1014548 1268185 1782380 2536370 5072740 41618573 83237146 118448479 166474292 208092865 236896958 416185730 473793916 592242395 832371460 1184484790 2368969580 22603875803 45207751606 90415503212 113019379015 226038758030 452077516060 10556010000001 21112020000002 42224040000004 52780050000005 105560100000010 211120200000020