Search a number
-
+
1120400314131 = 37358791487009
BaseRepresentation
bin10000010011011101000…
…100000000111100010011
310222002221121212002201210
4100103131010000330103
5121324034440023011
62214412123031203
7143642364352020
oct20233504007423
93862847762653
101120400314131
113a218284aa3a
1216118396b503
13818653a4477
143c3289d6547
151e2269436a6
hex104dd100f13

1120400314131 has 16 divisors (see below), whose sum is σ = 1707325401600. Its totient is φ = 640210476288.

The previous prime is 1120400314109. The next prime is 1120400314177. The reversal of 1120400314131 is 1314130040211.

It is not a de Polignac number, because 1120400314131 - 26 = 1120400314067 is a prime.

It is a super-2 number, since 2×11204003141312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1120400314098 and 1120400314107.

It is not an unprimeable number, because it can be changed into a prime (1120400314181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9955 + ... + 1496963.

It is an arithmetic number, because the mean of its divisors is an integer number (106707837600).

Almost surely, 21120400314131 is an apocalyptic number.

1120400314131 is a deficient number, since it is larger than the sum of its proper divisors (586925087469).

1120400314131 is a wasteful number, since it uses less digits than its factorization.

1120400314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522898.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1120400314131 its reverse (1314130040211), we get a palindrome (2434530354342).

The spelling of 1120400314131 in words is "one trillion, one hundred twenty billion, four hundred million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 21 35879 107637 251153 753459 1487009 4461027 10409063 31227189 53352395911 160057187733 373466771377 1120400314131