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12211314031301 = 7111931013811157
BaseRepresentation
bin1011000110110010101100…
…0010001111101011000101
31121020101112110201010111012
42301230223002033223011
53100032232343000201
641545444503052005
72400144513441350
oct261545302175305
947211473633435
1012211314031301
1139888754711a0
121452774441005
136a76a2a07928
14303060557297
1516299e7b55bb
hexb1b2b08fac5

12211314031301 has 32 divisors (see below), whose sum is σ = 15318504684288. Its totient is φ = 9456651325440.

The previous prime is 12211314031223. The next prime is 12211314031351. The reversal of 12211314031301 is 10313041311221.

12211314031301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211314031301 - 210 = 12211314030277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211314031351) 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, 14648615 + ... + 15459771.

It is an arithmetic number, because the mean of its divisors is an integer number (478703271384).

Almost surely, 212211314031301 is an apocalyptic number.

12211314031301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211314031301 is a deficient number, since it is larger than the sum of its proper divisors (3107190652987).

12211314031301 is a wasteful number, since it uses less digits than its factorization.

12211314031301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812381.

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

Adding to 12211314031301 its reverse (10313041311221), we get a palindrome (22524355342522).

The spelling of 12211314031301 in words is "twelve trillion, two hundred eleven billion, three hundred fourteen million, thirty-one thousand, three hundred one".

Divisors: 1 7 11 77 193 1013 1351 2123 7091 11143 14861 78001 195509 811157 1368563 2150599 5678099 8922727 15054193 62459089 156553301 821702041 1095873107 1722086311 5751914287 9038722451 12054604177 63271057157 158588493913 1110119457391 1744473433043 12211314031301