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12221032201313 = 1371103645119927
BaseRepresentation
bin1011000111010110111001…
…0010000111110001100001
31121021022121202011022112212
42301311232102013301201
53100212133220420223
641554133101131505
72400640366511465
oct261655622076141
947238552138485
1012221032201313
113991a02092161
121454626b59b95
136a85911b97a0
143037030b64a5
15162d6ca53278
hexb1d6e487c61

12221032201313 has 32 divisors (see below), whose sum is σ = 13478822203392. Its totient is φ = 11011824936000.

The previous prime is 12221032201303. The next prime is 12221032201327. The reversal of 12221032201313 is 31310223012221.

12221032201313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12221032201313 - 218 = 12221031939169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221032201303) 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, 613280156 + ... + 613300082.

It is an arithmetic number, because the mean of its divisors is an integer number (421213193856).

Almost surely, 212221032201313 is an apocalyptic number.

12221032201313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12221032201313 is a deficient number, since it is larger than the sum of its proper divisors (1257790002079).

12221032201313 is a wasteful number, since it uses less digits than its factorization.

12221032201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26565.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12221032201313 its reverse (31310223012221), we get a palindrome (43531255213534).

The spelling of 12221032201313 in words is "twelve trillion, two hundred twenty-one billion, thirty-two million, two hundred one thousand, three hundred thirteen".

Divisors: 1 13 71 103 923 1339 6451 7313 19927 83863 95069 259051 458021 664453 1414817 2052481 5954273 8637889 18392621 26682253 47176163 128549077 145726151 613290119 1671138001 1894439963 9126984467 13240554931 118650798071 172127214103 940079400101 12221032201313