Search a number
-
+
12032102013 = 31931109179349
BaseRepresentation
bin10110011010010101…
…10100111001111101
31011001112112010000220
423031022310321331
5144120204231023
65305533411553
7604111115421
oct131512647175
934045463026
1012032102013
115114898368
1223b9639bb9
1311999c44b9
14821db6b81
154a64b23e3
hex2cd2b4e7d

12032102013 has 64 divisors (see below), whose sum is σ = 17740800000. Its totient is φ = 7225148160.

The previous prime is 12032101979. The next prime is 12032102021. The reversal of 12032102013 is 31020123021.

It is not a de Polignac number, because 12032102013 - 216 = 12032036477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12032101983 and 12032102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032102083) 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, 34475763 + ... + 34476111.

It is an arithmetic number, because the mean of its divisors is an integer number (277200000).

Almost surely, 212032102013 is an apocalyptic number.

It is an amenable number.

12032102013 is a deficient number, since it is larger than the sum of its proper divisors (5708697987).

12032102013 is a wasteful number, since it uses less digits than its factorization.

12032102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12032102013 its reverse (31020123021), we get a palindrome (43052225034).

The spelling of 12032102013 in words is "twelve billion, thirty-two million, one hundred two thousand, thirteen".

Divisors: 1 3 19 31 57 93 109 179 327 349 537 589 1047 1767 2071 3379 3401 5549 6213 6631 10137 10203 10819 16647 19511 19893 32457 38041 58533 62471 64201 105431 114123 187413 192603 205561 316293 370709 604841 616683 722779 1112127 1179271 1186949 1814523 1936601 2168337 3537813 3560847 5809803 6809339 11491979 20428017 22406149 34475937 36795419 67218447 110386257 129377441 211089509 388132323 633268527 4010700671 12032102013