Search a number
-
+
2131330400441 = 111409244756197
BaseRepresentation
bin11111000000111101001…
…100010000000010111001
321112202100002011102220022
4133000331030100002321
5234404431040303231
64311041503140225
7306661232326634
oct37007514200271
97482302142808
102131330400441
1175198a4a1510
122a50962a4675
13125ca2c591a8
147522a910c1b
153a692a38c7b
hex1f03d3100b9

2131330400441 has 16 divisors (see below), whose sum is σ = 2327730151680. Its totient is φ = 1935372257280.

The previous prime is 2131330400429. The next prime is 2131330400467. The reversal of 2131330400441 is 1440040331312.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2131330400441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2131330400441.

It is not an unprimeable number, because it can be changed into a prime (2131330430441) 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, 37897955 + ... + 37954151.

It is an arithmetic number, because the mean of its divisors is an integer number (145483134480).

Almost surely, 22131330400441 is an apocalyptic number.

It is an amenable number.

2131330400441 is a deficient number, since it is larger than the sum of its proper divisors (196399751239).

2131330400441 is a wasteful number, since it uses less digits than its factorization.

2131330400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60064.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2131330400441 its reverse (1440040331312), we get a palindrome (3571370731753).

The spelling of 2131330400441 in words is "two trillion, one hundred thirty-one billion, three hundred thirty million, four hundred thousand, four hundred forty-one".

Divisors: 1 11 1409 2447 15499 26917 56197 618167 3447823 37926053 79181573 137514059 870997303 1512654649 193757309131 2131330400441