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32131021232013 = 3112373797340621
BaseRepresentation
bin1110100111001000101100…
…00110110101011110001101
311012202200210010002211000220
413103210112012311132031
513202413312413411023
6152200442023541553
76524250442112364
oct723442606653615
9135680703084026
1032131021232013
11a268764916770
12372b259bba8b9
1314c0c3330a432
147d1214bbc7db
153aac055e23e3
hex1d39161b578d

32131021232013 has 64 divisors (see below), whose sum is σ = 50061867540480. Its totient is φ = 18138965644800.

The previous prime is 32131021231997. The next prime is 32131021232017. The reversal of 32131021232013 is 31023212013123.

It is not a de Polignac number, because 32131021232013 - 24 = 32131021231997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131021232017) 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, 706843 + ... + 8047463.

It is an arithmetic number, because the mean of its divisors is an integer number (782216680320).

Almost surely, 232131021232013 is an apocalyptic number.

32131021232013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32131021232013 is a deficient number, since it is larger than the sum of its proper divisors (17930846308467).

32131021232013 is a wasteful number, since it uses less digits than its factorization.

32131021232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7340810.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32131021232013 its reverse (31023212013123), we get a palindrome (63154233245136).

The spelling of 32131021232013 in words is "thirty-two trillion, one hundred thirty-one billion, twenty-one million, two hundred thirty-two thousand, thirteen".

Divisors: 1 3 11 23 33 69 73 79 219 237 253 759 803 869 1679 1817 2409 2607 5037 5451 5767 17301 18469 19987 55407 59961 63437 132641 190311 397923 1459051 4377153 7340621 22021863 80746831 168834283 242240493 506502849 535865333 579909059 1607595999 1739727177 1857177113 5571531339 5894518663 6378999649 12324902659 13337908357 17683555989 19136998947 36974707977 40013725071 42333361307 127000083921 135573929249 146716991927 406721787747 440150975781 465666974377 973667310061 1397000923131 2921001930183 10710340410671 32131021232013