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211210112020120 = 23513975337782751
BaseRepresentation
bin110000000001100000101111…
…101100110010111010011000
31000200211111012212010021012221
4300001200233230302322120
5210140431302134120440
62025112330322513424
762326266320304313
oct6001405754627230
91020744185107187
10211210112020120
1161330783aa9884
121b831b27205874
1390b1049981255
143a228a423d97a
1519640d6806d4a
hexc0182fb32e98

211210112020120 has 32 divisors (see below), whose sum is σ = 475226165070720. Its totient is φ = 84483438048000.

The previous prime is 211210112020051. The next prime is 211210112020133. The reversal of 211210112020120 is 21020211012112.

It is a super-2 number, since 2×2112101120201202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211210112020094 and 211210112020103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13301256 + ... + 24481495.

It is an arithmetic number, because the mean of its divisors is an integer number (14850817658460).

Almost surely, 2211210112020120 is an apocalyptic number.

211210112020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210112020120 is an abundant number, since it is smaller than the sum of its proper divisors (264016053050600).

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

211210112020120 is a wasteful number, since it uses less digits than its factorization.

211210112020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37922515 (or 37922511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211210112020120 its reverse (21020211012112), we get a palindrome (232230323032232).

The spelling of 211210112020120 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139753 279506 559012 698765 1118024 1397530 2795060 5590120 37782751 75565502 151131004 188913755 302262008 377827510 755655020 1511310040 5280252800503 10560505601006 21121011202012 26401264002515 42242022404024 52802528005030 105605056010060 211210112020120