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313101213221 = 2321981329873
BaseRepresentation
bin1001000111001100100…
…10010101111000100101
31002221011120011121122102
410203212102111320211
520112212402310341
6355500421341445
731422640254266
oct4434622257045
91087146147572
10313101213221
11110870521745
1250820b67885
13236aa17a394
14112230d696d
158227954c9b
hex48e6495e25

313101213221 has 12 divisors (see below), whose sum is σ = 327333660108. Its totient is φ = 299462976384.

The previous prime is 313101213203. The next prime is 313101213239. The reversal of 313101213221 is 122312101313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313101213203) and next prime (313101213239).

It can be written as a sum of positive squares in 2 ways, for example, as 133652392225 + 179448820996 = 365585^2 + 423614^2 .

It is a de Polignac number, because none of the positive numbers 2k-313101213221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313101213193 and 313101213202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313101213281) 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, 10466141 + ... + 10496013.

It is an arithmetic number, because the mean of its divisors is an integer number (27277805009).

Almost surely, 2313101213221 is an apocalyptic number.

It is an amenable number.

313101213221 is a deficient number, since it is larger than the sum of its proper divisors (14232446887).

313101213221 is a wasteful number, since it uses less digits than its factorization.

313101213221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49732 (or 49709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 313101213221 its reverse (122312101313), we get a palindrome (435413314534).

The spelling of 313101213221 in words is "three hundred thirteen billion, one hundred one million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 23 529 19813 29873 455699 687079 10481077 15802817 591873749 13613096227 313101213221