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220312013121 = 3237661597637
BaseRepresentation
bin1100110100101110011…
…1101000100101000001
3210001122220220212021200
43031023213220211001
512102144333404441
6245113203011413
721626352133104
oct3151347504501
9701586825250
10220312013121
118548542a302
1236846069b69
1317a1053c855
14a93d9c673b
155ae67c37b6
hex334b9e8941

220312013121 has 12 divisors (see below), whose sum is σ = 326829233172. Its totient is φ = 142905089376.

The previous prime is 220312013087. The next prime is 220312013137. The reversal of 220312013121 is 121310213022.

220312013121 is a `hidden beast` number, since 220 + 312 + 0 + 13 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102963974400 + 117348038721 = 320880^2 + 342561^2 .

It is not a de Polignac number, because 220312013121 - 222 = 220307818817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220312013094 and 220312013103.

It is not an unprimeable number, because it can be changed into a prime (220312013191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330798486 + ... + 330799151.

It is an arithmetic number, because the mean of its divisors is an integer number (27235769431).

Almost surely, 2220312013121 is an apocalyptic number.

It is an amenable number.

220312013121 is a deficient number, since it is larger than the sum of its proper divisors (106517220051).

220312013121 is a wasteful number, since it uses less digits than its factorization.

220312013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661597680 (or 661597677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220312013121 its reverse (121310213022), we get a palindrome (341622226143).

The spelling of 220312013121 in words is "two hundred twenty billion, three hundred twelve million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 661597637 1984792911 5954378733 24479112569 73437337707 220312013121