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212241964041 = 348929441249
BaseRepresentation
bin1100010110101010011…
…0110101110000001001
3202021211111200220010000
43011222212311300021
511434132420322131
6241300321513213
721222360633162
oct3055246656011
9667744626100
10212241964041
1182014067a58
12351734a2809
1317025641793
14a3b5cc6769
1557c308cce6
hex316a9b5c09

212241964041 has 20 divisors (see below), whose sum is σ = 320615212500. Its totient is φ = 139904810496.

The previous prime is 212241964031. The next prime is 212241964069. The reversal of 212241964041 is 140469142212.

212241964041 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 1 + 9 + 640 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11810255625 + 200431708416 = 108675^2 + 447696^2 .

It is not a de Polignac number, because 212241964041 - 214 = 212241947657 is a prime.

It is a super-2 number, since 2×2122419640412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212241963987 and 212241964005.

It is not an unprimeable number, because it can be changed into a prime (212241964031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14713416 + ... + 14727833.

It is an arithmetic number, because the mean of its divisors is an integer number (16030760625).

Almost surely, 2212241964041 is an apocalyptic number.

It is an amenable number.

212241964041 is a deficient number, since it is larger than the sum of its proper divisors (108373248459).

212241964041 is an equidigital number, since it uses as much as digits as its factorization.

212241964041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29441350 (or 29441341 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 212241964041 in words is "two hundred twelve billion, two hundred forty-one million, nine hundred sixty-four thousand, forty-one".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 29441249 88323747 264971241 794913723 2384741169 2620271161 7860813483 23582440449 70747321347 212241964041