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212010220211220 = 223251177834556729
BaseRepresentation
bin110000001101001001111001…
…110111010100110000010100
31000210122222102202211200111100
4300031021321313110300110
5210242033412333224340
62030524052310110100
762441142616565304
oct6015117167246024
91023588382750440
10212010220211220
116160a03623a102
121b94100194b330
13913b62a17b812
143a4d4c6ac9604
151979d1436a830
hexc0d279dd4c14

212010220211220 has 36 divisors (see below), whose sum is σ = 643097667974580. Its totient is φ = 56536058722944.

The previous prime is 212010220211219. The next prime is 212010220211233. The reversal of 212010220211220 is 22112022010212.

It is a happy number.

212010220211220 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 10 + 220 + 211 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60335330126724 + 151674890084496 = 7767582^2 + 12315636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212010220211193 and 212010220211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588917278185 + ... + 588917278544.

It is an arithmetic number, because the mean of its divisors is an integer number (17863824110405).

Almost surely, 2212010220211220 is an apocalyptic number.

212010220211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010220211220 is an abundant number, since it is smaller than the sum of its proper divisors (431087447763360).

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

212010220211220 is a wasteful number, since it uses less digits than its factorization.

212010220211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177834556744 (or 1177834556739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212010220211220 its reverse (22112022010212), we get a palindrome (234122242221432).

The spelling of 212010220211220 in words is "two hundred twelve trillion, ten billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1177834556729 2355669113458 3533503670187 4711338226916 5889172783645 7067007340374 10600511010561 11778345567290 14134014680748 17667518350935 21201022021122 23556691134580 35335036701870 42402044042244 53002555052805 70670073403740 106005110105610 212010220211220