Search a number
-
+
1251344137131 = 34111404426641
BaseRepresentation
bin10010001101011001111…
…011000011101110101011
311102121221022202112010000
4102031121323003232223
5131000223044342011
62354505355354043
7156256321444644
oct22153173035653
94377838675100
101251344137131
11442768163280
12182628752923
139100297733a
14447cb5886cb
152283c58d356
hex12359ec3bab

1251344137131 has 20 divisors (see below), whose sum is σ = 2039227484184. Its totient is φ = 758390385600.

The previous prime is 1251344137097. The next prime is 1251344137133. The reversal of 1251344137131 is 1317314431521.

1251344137131 is a `hidden beast` number, since 1 + 2 + 51 + 3 + 441 + 37 + 131 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1251344137131 is a prime.

It is a super-2 number, since 2×12513441371312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1251344137133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 702212430 + ... + 702214211.

Almost surely, 21251344137131 is an apocalyptic number.

1251344137131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1251344137131 is a deficient number, since it is larger than the sum of its proper divisors (787883347053).

1251344137131 is a wasteful number, since it uses less digits than its factorization.

1251344137131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404426664 (or 1404426655 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 1251344137131 its reverse (1317314431521), we get a palindrome (2568658568652).

The spelling of 1251344137131 in words is "one trillion, two hundred fifty-one billion, three hundred forty-four million, one hundred thirty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 1404426641 4213279923 12639839769 15448693051 37919519307 46346079153 113758557921 139038237459 417114712377 1251344137131