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311224222422113 = 71121328264846283
BaseRepresentation
bin100011011000011101000100…
…1001110010001010001100001
31111210221202010011122111010212
41012300322021032101101201
5311243044201420001423
63021530233424303505
7122361131235053030
oct10660721116212141
91453852104574125
10311224222422113
11901904a6a5a900
122aaa540a471b95
131048741a24c390
1456bd493066717
1525ea9c9c66578
hex11b0e89391461

311224222422113 has 24 divisors (see below), whose sum is σ = 421033150246464. Its totient is φ = 223857582553440.

The previous prime is 311224222422053. The next prime is 311224222422121.

It is a happy number.

311224222422113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311224222422113 - 218 = 311224222159969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 311224222422113.

It is not an unprimeable number, because it can be changed into a prime (311224222422313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14132412131 + ... + 14132434152.

It is an arithmetic number, because the mean of its divisors is an integer number (17543047926936).

Almost surely, 2311224222422113 is an apocalyptic number.

It is an amenable number.

311224222422113 is a deficient number, since it is larger than the sum of its proper divisors (109808927824351).

311224222422113 is a wasteful number, since it uses less digits than its factorization.

311224222422113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28264846325 (or 28264846314 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 311224222422113 in words is "three hundred eleven trillion, two hundred twenty-four billion, two hundred twenty-two million, four hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 28264846283 197853923981 310913309113 367443001679 2176393163791 2572101011753 3420046400243 4041873018469 23940324801701 28293111129283 44460603203159 311224222422113