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2113102431 = 331117439733
BaseRepresentation
bin111110111110011…
…0110001001011111
312110021011201121000
41331330312021133
513311423234211
6545403041343
7103236034326
oct17574661137
95407151530
102113102431
11994878150
124ab810253
13278a2788b
141608db0bd
15c57a4656
hex7df3625f

2113102431 has 64 divisors (see below), whose sum is σ = 3700477440. Its totient is φ = 1177182720.

The previous prime is 2113102399. The next prime is 2113102451. The reversal of 2113102431 is 1342013112.

It is not a de Polignac number, because 2113102431 - 25 = 2113102399 is a prime.

It is a super-2 number, since 2×21131024312 = 8930403767796219522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113102451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212241 + ... + 221973.

It is an arithmetic number, because the mean of its divisors is an integer number (57819960).

Almost surely, 22113102431 is an apocalyptic number.

2113102431 is a deficient number, since it is larger than the sum of its proper divisors (1587375009).

2113102431 is a wasteful number, since it uses less digits than its factorization.

2113102431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9807 counting only the distinct ones).

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

The square root of 2113102431 is about 45968.4938952757. The cubic root of 2113102431 is about 1283.2369308744.

Adding to 2113102431 its reverse (1342013112), we get a palindrome (3455115543).

The spelling of 2113102431 in words is "two billion, one hundred thirteen million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 43 51 99 129 153 187 297 387 459 473 561 731 1161 1419 1683 2193 4257 5049 6579 8041 9733 12771 19737 24123 29199 72369 87597 107063 165461 217107 262791 321189 418519 496383 963567 1255557 1489149 1820071 2890701 3766671 4467447 4603709 5460213 7114823 11300013 13811127 16380639 21344469 41433381 49141917 64033407 78263053 124300143 192100221 234789159 704367477 2113102431