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12213131221013 = 1729414391376359
BaseRepresentation
bin1011000110111001011101…
…0110010001100000010101
31121020120020010001221010212
42301232113112101200111
53100044443043033023
641550345055455205
72400240530341502
oct261562726214025
947216203057125
1012213131221013
1139896181a6778
121452ba0b27505
136a7902335c08
14303193a264a9
15162a590b6e78
hexb1b97591815

12213131221013 has 32 divisors (see below), whose sum is σ = 13734971712000. Its totient is φ = 10802978887680.

The previous prime is 12213131220991. The next prime is 12213131221069. The reversal of 12213131221013 is 31012213131221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12213131221013 - 224 = 12213114443797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12213131221013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213131221813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8185328 + ... + 9561686.

It is an arithmetic number, because the mean of its divisors is an integer number (429217866000).

Almost surely, 212213131221013 is an apocalyptic number.

It is an amenable number.

12213131221013 is a deficient number, since it is larger than the sum of its proper divisors (1521840490987).

12213131221013 is a wasteful number, since it uses less digits than its factorization.

12213131221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376885.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12213131221013 its reverse (31012213131221), we get a palindrome (43225344352234).

The spelling of 12213131221013 in words is "twelve trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred twenty-one thousand, thirteen".

Divisors: 1 17 29 41 439 493 697 1189 7463 12731 17999 20213 216427 305983 521971 1376359 8873507 23398103 39914411 56430719 604221601 678544987 959322223 1636490851 10271767217 17522426429 24773085641 27820344467 297881249293 421142455897 718419483589 12213131221013