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131330045264 = 24112332443193
BaseRepresentation
bin111101001001111100…
…0010111010101010000
3110112222121122112201112
41322103320113111100
54122430442422024
6140155430352452
712326323652225
oct1722370272520
9415877575645
10131330045264
11507734288a0
12215521bb728
13c4cc5cc272
1464dbdab94c
1536399db00e
hex1e93e17550

131330045264 has 40 divisors (see below), whose sum is σ = 289652836032. Its totient is φ = 57100017920.

The previous prime is 131330045261. The next prime is 131330045351. The reversal of 131330045264 is 462540033131.

It is a self number, because there is not a number n which added to its sum of digits gives 131330045264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330045261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16217549 + ... + 16225644.

Almost surely, 2131330045264 is an apocalyptic number.

It is an amenable number.

131330045264 is an abundant number, since it is smaller than the sum of its proper divisors (158322790768).

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

131330045264 is a wasteful number, since it uses less digits than its factorization.

131330045264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32443235 (or 32443229 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 131330045264 its reverse (462540033131), we get a palindrome (593870078395).

The spelling of 131330045264 in words is "one hundred thirty-one billion, three hundred thirty million, forty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 32443193 64886386 129772772 259545544 356875123 519091088 713750246 746193439 1427500492 1492386878 2855000984 2984773756 5710001968 5969547512 8208127829 11939095024 16416255658 32832511316 65665022632 131330045264