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131340952224 = 2533198000789
BaseRepresentation
bin111101001010010000…
…1111110001010100000
3110120000101011200021000
41322110201332022200
54122441240432344
6140200500232000
712326515450026
oct1722441761240
9416011150230
10131340952224
11507795a8409
122155599b600
13c50194a8a1
1464dd60a716
15363a942a69
hex1e9487e2a0

131340952224 has 96 divisors (see below), whose sum is σ = 403239816000. Its totient is φ = 41476084992.

The previous prime is 131340952217. The next prime is 131340952229. The reversal of 131340952224 is 422259043131.

131340952224 is a `hidden beast` number, since 1 + 3 + 1 + 340 + 95 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1313409522242 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131340952229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983979 + ... + 4016810.

It is an arithmetic number, because the mean of its divisors is an integer number (4200414750).

Almost surely, 2131340952224 is an apocalyptic number.

It is an amenable number.

131340952224 is an abundant number, since it is smaller than the sum of its proper divisors (271898863776).

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

131340952224 is a wasteful number, since it uses less digits than its factorization.

131340952224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000827 (or 8000813 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 131340952224 its reverse (422259043131), we get a palindrome (553599995355).

The spelling of 131340952224 in words is "one hundred thirty-one billion, three hundred forty million, nine hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 8000789 16001578 24002367 32003156 48004734 64006312 72007101 96009468 128012624 144014202 152014991 192018936 216021303 256025248 288028404 304029982 384037872 432042606 456044973 576056808 608059964 768075744 864085212 912089946 1152113616 1216119928 1368134919 1728170424 1824179892 2304227232 2432239856 2736269838 3456340848 3648359784 4104404757 4864479712 5472539676 6912681696 7296719568 8208809514 10945079352 14593439136 16417619028 21890158704 32835238056 43780317408 65670476112 131340952224