Search a number
-
+
1312100113120 = 25561134436487
BaseRepresentation
bin10011000101111111010…
…000101101101011100000
311122102202111211212221221
4103011333100231223200
5132444140112104440
62442434231024424
7163540030641166
oct23057720555340
94572674755857
101312100113120
11466505342285
1219236380b114
1396965c120a4
14477125c7236
15241e636dd4a
hex1317f42dae0

1312100113120 has 48 divisors (see below), whose sum is σ = 3150653532768. Its totient is φ = 516236106240.

The previous prime is 1312100113099. The next prime is 1312100113157. The reversal of 1312100113120 is 213110012131.

It is a happy number.

It is a super-2 number, since 2×13121001131202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1312100113094 and 1312100113103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67208484 + ... + 67228003.

It is an arithmetic number, because the mean of its divisors is an integer number (65638615266).

Almost surely, 21312100113120 is an apocalyptic number.

1312100113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312100113120 is an abundant number, since it is smaller than the sum of its proper divisors (1838553419648).

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

1312100113120 is a wasteful number, since it uses less digits than its factorization.

1312100113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134436563 (or 134436555 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1312100113120 its reverse (213110012131), we get a palindrome (1525210125251).

The spelling of 1312100113120 in words is "one trillion, three hundred twelve billion, one hundred million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 134436487 268872974 537745948 672182435 1075491896 1344364870 2150983792 2688729740 4301967584 5377459480 8200625707 10754918960 16401251414 21509837920 32802502828 41003128535 65605005656 82006257070 131210011312 164012514140 262420022624 328025028280 656050056560 1312100113120