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212144102024211 = 3273367366698797
BaseRepresentation
bin110000001111000110100101…
…110101111010010000010011
31000211010210000020002110110200
4300033012211311322100103
5210301232110104233321
62031105353254030243
762453622420325560
oct6017064565722023
91024123006073420
10212144102024211
1161660899009845
121b962b46648383
13914b1453340c6
143a55b87941867
15197d54cdaad26
hexc0f1a5d7a413

212144102024211 has 12 divisors (see below), whose sum is σ = 350206136674992. Its totient is φ = 121225201156656.

The previous prime is 212144102024171. The next prime is 212144102024251. The reversal of 212144102024211 is 112420201441212.

212144102024211 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 410 + 2 + 0 + 242 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (212144102024171) and next prime (212144102024251).

It is not a de Polignac number, because 212144102024211 - 239 = 211594346210323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212144102024251) 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 11 ways as a sum of consecutive naturals, for example, 1683683349336 + ... + 1683683349461.

It is an arithmetic number, because the mean of its divisors is an integer number (29183844722916).

Almost surely, 2212144102024211 is an apocalyptic number.

212144102024211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212144102024211 is a deficient number, since it is larger than the sum of its proper divisors (138062034650781).

212144102024211 is a wasteful number, since it uses less digits than its factorization.

212144102024211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367366698810 (or 3367366698807 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 212144102024211 its reverse (112420201441212), we get a palindrome (324564303465423).

The spelling of 212144102024211 in words is "two hundred twelve trillion, one hundred forty-four billion, one hundred two million, twenty-four thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 3367366698797 10102100096391 23571566891579 30306300289173 70714700674737 212144102024211