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211012012200220 = 225711137020787143
BaseRepresentation
bin101111111110101000010000…
…000001111101000100011100
31000200010112212221100201210021
4233332220100001331010130
5210124210100110401340
62024441325152121524
762306054241520060
oct5776502001750434
91020115787321707
10211012012200220
11612647678a7060
121b7bb65bb362a4
1390984692298ca
143a17070671aa0
15195dd900c8e4a
hexbfea1007d11c

211012012200220 has 48 divisors (see below), whose sum is σ = 552467813764608. Its totient is φ = 65769977828160.

The previous prime is 211012012200193. The next prime is 211012012200229. The reversal of 211012012200220 is 22002210210112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211012012200194 and 211012012200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012012200229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68510392032 + ... + 68510395111.

It is an arithmetic number, because the mean of its divisors is an integer number (11509746120096).

Almost surely, 2211012012200220 is an apocalyptic number.

211012012200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012012200220 is an abundant number, since it is smaller than the sum of its proper divisors (341455801564388).

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

211012012200220 is a wasteful number, since it uses less digits than its factorization.

211012012200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137020787170 (or 137020787168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211012012200220 its reverse (22002210210112), we get a palindrome (233014222410332).

The spelling of 211012012200220 in words is "two hundred eleven trillion, twelve billion, twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 137020787143 274041574286 548083148572 685103935715 959145510001 1370207871430 1507228658573 1918291020002 2740415742860 3014457317146 3836582040004 4795727550005 6028914634292 7536143292865 9591455100010 10550600610011 15072286585730 19182910200020 21101201220022 30144573171460 42202402440044 52753003050055 105506006100110 211012012200220