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12131133311 = 1131594311399
BaseRepresentation
bin10110100110001001…
…00110011101111111
31011022102212102102202
423103010212131333
5144321032231221
65323432142115
7606422634413
oct132304463577
934272772382
1012131133311
115165788010
12242683793b
1311b43890bb
148311d4d43
154b0024d0b
hex2d312677f

12131133311 has 32 divisors (see below), whose sum is σ = 13934592000. Its totient is φ = 10459836000.

The previous prime is 12131133307. The next prime is 12131133349. The reversal of 12131133311 is 11333113121.

It is a cyclic number.

It is not a de Polignac number, because 12131133311 - 22 = 12131133307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131133361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8670590 + ... + 8671988.

It is an arithmetic number, because the mean of its divisors is an integer number (435456000).

Almost surely, 212131133311 is an apocalyptic number.

12131133311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12131133311 is a deficient number, since it is larger than the sum of its proper divisors (1803458689).

12131133311 is a wasteful number, since it uses less digits than its factorization.

12131133311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931.

The product of its digits is 162, while the sum is 20.

Adding to 12131133311 its reverse (11333113121), we get a palindrome (23464246432).

The spelling of 12131133311 in words is "twelve billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 11 31 59 341 431 649 1399 1829 4741 13361 15389 20119 25429 43369 82541 146971 279719 477059 602969 788299 907951 2558771 6632659 8671289 18692039 28146481 35575171 205612429 391326881 1102830301 12131133311