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12112201310013 = 337219347435767
BaseRepresentation
bin1011000001000001011101…
…1101001101111100111101
31120212220201010122012211000
42300100113131031330331
53041421242013410023
641432133553320513
72360035432266300
oct260202735157475
946786633565730
1012112201310013
11394a834969792
121437513866139
1369b238c8949c
142dc33b2a0b37
151600ed3e3243
hexb041774df3d

12112201310013 has 48 divisors (see below), whose sum is σ = 20981788901760. Its totient is φ = 6885396306432.

The previous prime is 12112201309981. The next prime is 12112201310023. The reversal of 12112201310013 is 31001310221121.

12112201310013 is a `hidden beast` number, since 121 + 1 + 220 + 1 + 310 + 0 + 13 = 666.

It is not a de Polignac number, because 12112201310013 - 25 = 12112201309981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112201310023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23462545 + ... + 23973222.

It is an arithmetic number, because the mean of its divisors is an integer number (437120602120).

Almost surely, 212112201310013 is an apocalyptic number.

It is an amenable number.

12112201310013 is a deficient number, since it is larger than the sum of its proper divisors (8869587591747).

12112201310013 is a wasteful number, since it uses less digits than its factorization.

12112201310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47435983 (or 47435970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12112201310013 its reverse (31001310221121), we get a palindrome (43113511531134).

The spelling of 12112201310013 in words is "twelve trillion, one hundred twelve billion, two hundred one million, three hundred ten thousand, thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 193 441 579 1323 1351 1737 4053 5211 9457 12159 28371 36477 85113 255339 47435767 142307301 332050369 426921903 996151107 1280765709 2324352583 2988453321 6973057749 8965359963 9155103031 20919173247 27465309093 62757519741 64085721217 82395927279 192257163651 247187781837 448600048519 576771490953 1345800145557 1730314472859 4037400436671 12112201310013