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13131204114 = 2371923715441
BaseRepresentation
bin11000011101010111…
…00100011000010010
31020220010200021200010
430032223210120102
5203343042012424
610010555135350
7643255251630
oct141653443022
936803607603
1013131204114
11562924a006
122665744556
13131361c582
148c7d60350
1551cc1c229
hex30eae4612

13131204114 has 64 divisors (see below), whose sum is σ = 32967567360. Its totient is φ = 3399770880.

The previous prime is 13131204071. The next prime is 13131204143. The reversal of 13131204114 is 41140213131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339367 + ... + 376074.

It is an arithmetic number, because the mean of its divisors is an integer number (515118240).

Almost surely, 213131204114 is an apocalyptic number.

13131204114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13131204114 is an abundant number, since it is smaller than the sum of its proper divisors (19836363246).

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

13131204114 is a wasteful number, since it uses less digits than its factorization.

13131204114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715495.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13131204114 its reverse (41140213131), we get a palindrome (54271417245).

The spelling of 13131204114 in words is "thirteen billion, one hundred thirty-one million, two hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 6118 9177 18354 715441 1430882 2146323 4292646 5008087 10016174 13593379 15024261 16455143 27186758 30048522 32910286 40780137 49365429 81560274 95153653 98730858 115186001 190307306 230372002 285460959 312647717 345558003 570921918 625295434 691116006 937943151 1875886302 2188534019 4377068038 6565602057 13131204114