Search a number
-
+
1310013331200 = 283252712725583
BaseRepresentation
bin10011000100000010111…
…000010001011100000000
311122020101002012101022200
4103010002320101130000
5132430401403044300
62441451204033200
7163434231405660
oct23040270213400
94566332171280
101310013331200
11465634412122
12191a80992800
13966c27a17a2
14475953bc1a0
1524123068200
hex13102e11700

1310013331200 has 648 divisors, whose sum is σ = 5395036028928. Its totient is φ = 297062277120.

The previous prime is 1310013331199. The next prime is 1310013331229. The reversal of 1310013331200 is 21333100131.

It is a happy number.

1310013331200 is a `hidden beast` number, since 1 + 310 + 0 + 1 + 3 + 331 + 20 + 0 = 666.

It is a super-2 number, since 2×13100133312002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51193609 + ... + 51219191.

Almost surely, 21310013331200 is an apocalyptic number.

1310013331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310013331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697518014464).

1310013331200 is an abundant number, since it is smaller than the sum of its proper divisors (4085022697728).

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

1310013331200 is a wasteful number, since it uses less digits than its factorization.

1310013331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25749 (or 25727 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1310013331200 its reverse (21333100131), we get a palindrome (1331346431331).

The spelling of 1310013331200 in words is "one trillion, three hundred ten billion, thirteen million, three hundred thirty-one thousand, two hundred".