Search a number
-
+
1312100113122 = 233349653106619
BaseRepresentation
bin10011000101111111010…
…000101101101011100010
311122102202111211212222000
4103011333100231223202
5132444140112104442
62442434231024430
7163540030641201
oct23057720555342
94572674755860
101312100113122
11466505342287
1219236380b116
1396965c120a6
14477125c7238
15241e636dd4c
hex1317f42dae2

1312100113122 has 64 divisors (see below), whose sum is σ = 2928638160000. Its totient is φ = 435441559104.

The previous prime is 1312100113099. The next prime is 1312100113157. The reversal of 1312100113122 is 2213110012131.

1312100113122 is a `hidden beast` number, since 131 + 210 + 0 + 11 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312100113095 and 1312100113104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12253129 + ... + 12359747.

It is an arithmetic number, because the mean of its divisors is an integer number (45759971250).

Almost surely, 21312100113122 is an apocalyptic number.

1312100113122 is an abundant number, since it is smaller than the sum of its proper divisors (1616538046878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312100113122 is a wasteful number, since it uses less digits than its factorization.

1312100113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107632 (or 107626 counting only the distinct ones).

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

Adding to 1312100113122 its reverse (2213110012131), we get a palindrome (3525210125253).

The spelling of 1312100113122 in words is "one trillion, three hundred twelve billion, one hundred million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 349 653 698 1047 1306 1959 2094 3141 3918 5877 6282 9423 11754 17631 18846 35262 106619 213238 227897 319857 455794 639714 683691 959571 1367382 1919142 2051073 2878713 4102146 5757426 6153219 12306438 37210031 69622207 74420062 111630093 139244414 208866621 223260186 334890279 417733242 626599863 669780558 1004670837 1253199726 1879799589 2009341674 3759599178 24298150243 48596300486 72894450729 145788901458 218683352187 437366704374 656050056561 1312100113122