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1213112313 = 327831012297
BaseRepresentation
bin100100001001110…
…1001111111111001
310010112200111020200
41020103221333321
54441024043223
6320213112413
742030166410
oct11023517771
93115614220
101213112313
11572852266
1229a328709
1316443584a
14b7184477
157177aa43
hex484e9ff9

1213112313 has 48 divisors (see below), whose sum is σ = 2047683456. Its totient is φ = 677779200.

The previous prime is 1213112309. The next prime is 1213112317. The reversal of 1213112313 is 3132113121.

1213112313 is a `hidden beast` number, since 121 + 311 + 231 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1213112309) and next prime (1213112317).

It is not a de Polignac number, because 1213112313 - 22 = 1213112309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1213112317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526981 + ... + 529277.

It is an arithmetic number, because the mean of its divisors is an integer number (42660072).

Almost surely, 21213112313 is an apocalyptic number.

It is an amenable number.

1213112313 is a deficient number, since it is larger than the sum of its proper divisors (834571143).

1213112313 is a wasteful number, since it uses less digits than its factorization.

1213112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2491 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1213112313 is about 34829.7618854910. The cubic root of 1213112313 is about 1066.5150875211.

Adding to 1213112313 its reverse (3132113121), we get a palindrome (4345225434).

It can be divided in two parts, 1213 and 112313, that added together give a triangular number (113526 = T476).

The spelling of 1213112313 in words is "one billion, two hundred thirteen million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 83 101 249 303 581 707 747 909 1743 2121 2297 5229 6363 6891 8383 16079 20673 25149 48237 58681 75447 144711 176043 190651 231997 528129 571953 695991 1334557 1623979 1715859 2087973 4003671 4871937 12011013 14615811 19255751 57767253 134790257 173301759 404370771 1213112313