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212102022220100 = 22527329055071537
BaseRepresentation
bin110000001110011111011001…
…101100001100100101000100
31000210222202101121111221002022
4300032133121230030211010
5210300034420142020400
62031034153541502312
762450602560024125
oct6016373154144504
91023882347457068
10212102022220100
1161644a65067131
121b956962111998
13914719a41532c
143a53b1506404c
15197c3d89eab85
hexc0e7d9b0c944

212102022220100 has 36 divisors (see below), whose sum is σ = 466566338757204. Its totient is φ = 83678606023680.

The previous prime is 212102022220091. The next prime is 212102022220139. The reversal of 212102022220100 is 1022220201212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 199499795716 + 211902522424384 = 446654^2 + 14556872^2 .

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, 14527528469 + ... + 14527543068.

It is an arithmetic number, because the mean of its divisors is an integer number (12960176076589).

Almost surely, 2212102022220100 is an apocalyptic number.

212102022220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102022220100 is an abundant number, since it is smaller than the sum of its proper divisors (254464316537104).

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

212102022220100 is a wasteful number, since it uses less digits than its factorization.

212102022220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29055071624 (or 29055071617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212102022220100 its reverse (1022220201212), we get a palindrome (213124242421312).

The spelling of 212102022220100 in words is "two hundred twelve trillion, one hundred two billion, twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 29055071537 58110143074 116220286148 145275357685 290550715370 581101430740 726376788425 1452753576850 2121020222201 2905507153700 4242040444402 8484080888804 10605101111005 21210202222010 42420404444020 53025505555025 106051011110050 212102022220100