Search a number
-
+
1312123131 = 341110713763
BaseRepresentation
bin100111000110101…
…0110100011111011
310101102222202120000
41032031112203323
510141400420011
6334111204043
744341601604
oct11615264373
93342882500
101312123131
11613728590
12307516623
1317bac1027
14c6398dab
157a2d7356
hex4e3568fb

1312123131 has 40 divisors (see below), whose sum is σ = 2158415424. Its totient is φ = 787736880.

The previous prime is 1312123093. The next prime is 1312123139. The reversal of 1312123131 is 1313212131.

It is not a de Polignac number, because 1312123131 - 218 = 1311860987 is a prime.

It is a super-2 number, since 2×13121231312 = 3443334221810486322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312123139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88456 + ... + 102218.

Almost surely, 21312123131 is an apocalyptic number.

1312123131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312123131 is a deficient number, since it is larger than the sum of its proper divisors (846292293).

1312123131 is a wasteful number, since it uses less digits than its factorization.

1312123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13893 (or 13884 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1312123131 is about 36223.2402057022. The cubic root of 1312123131 is about 1094.7749809721.

Adding to 1312123131 its reverse (1313212131), we get a palindrome (2625335262).

The spelling of 1312123131 in words is "one billion, three hundred twelve million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 107 297 321 891 963 1177 2889 3531 8667 10593 13763 31779 41289 95337 123867 151393 371601 454179 1114803 1362537 1472641 4087611 4417923 12262833 13253769 16199051 39761307 48597153 119283921 145791459 437374377 1312123131