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131311036111356 = 22337117124548267
BaseRepresentation
bin11101110110110100111011…
…101010011001100111111100
3122012221012201212202021201000
4131312310323222121213330
5114202400000221030411
61143135242431450300
736441623612610003
oct3566647352314774
9565835655667630
10131311036111356
1138926774682202
1212888b60386990
135836767c0b81a
14245d6b9337c3a
15102aa7c2e2956
hex776d3ba999fc

131311036111356 has 48 divisors (see below), whose sum is σ = 345230893082880. Its totient is φ = 43153861630320.

The previous prime is 131311036111327. The next prime is 131311036111357. The reversal of 131311036111356 is 653111630113131.

131311036111356 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 1 + 0 + 3 + 611 + 1 + 35 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131311036111356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311036111357) 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, 8562266466 + ... + 8562281801.

It is an arithmetic number, because the mean of its divisors is an integer number (7192310272560).

Almost surely, 2131311036111356 is an apocalyptic number.

It is an amenable number.

131311036111356 is an abundant number, since it is smaller than the sum of its proper divisors (213919856971524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131311036111356 is a wasteful number, since it uses less digits than its factorization.

131311036111356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17124548351 (or 17124548343 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Adding to 131311036111356 its reverse (653111630113131), we get a palindrome (784422666224487).

The spelling of 131311036111356 in words is "one hundred thirty-one trillion, three hundred eleven billion, thirty-six million, one hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 17124548267 34249096534 51373644801 68498193068 102747289602 154120934403 205494579204 308241868806 462362803209 616483737612 924725606418 1215842926957 1849451212836 2431685853914 3647528780871 4863371707828 7295057561742 10942586342613 14590115123484 21885172685226 32827759027839 43770345370452 65655518055678 131311036111356