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23253131 = 1119313797
BaseRepresentation
bin101100010110…
…1000010001011
31121202101022002
41120231002023
521423100011
62150221215
7401435246
oct130550213
947671262
1023253131
1112142470
12795480b
134a82065
14313425d
152094c3b
hex162d08b

23253131 has 32 divisors (see below), whose sum is σ = 28600320. Its totient is φ = 18662400.

The previous prime is 23253121. The next prime is 23253137. The reversal of 23253131 is 13135232.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23253131 is a prime.

It is a super-2 number, since 2×232531312 = 1081416202606322, which contains 22 as substring.

23253131 is a modest number, since divided by 3131 gives 2325 as remainder.

It is not an unprimeable number, because it can be changed into a prime (23253137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239675 + ... + 239771.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 223253131 is an apocalyptic number.

23253131 is a deficient number, since it is larger than the sum of its proper divisors (5347189).

23253131 is a wasteful number, since it uses less digits than its factorization.

23253131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its digits is 540, while the sum is 20.

The square root of 23253131 is about 4822.1500391423. The cubic root of 23253131 is about 285.4261849834.

Adding to 23253131 its reverse (13135232), we get a palindrome (36388363).

The spelling of 23253131 in words is "twenty-three million, two hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 11 19 31 37 97 209 341 407 589 703 1067 1147 1843 3007 3589 6479 7733 12617 20273 21793 33077 39479 57133 68191 111259 239723 628463 750101 1223849 2113921 23253131