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131330305568 = 2571153299637
BaseRepresentation
bin111101001001111100…
…1010110111000100000
3110112222122010202210102
41322103321112320200
54122431024234233
6140155440121532
712326326115150
oct1722371267040
9415878122712
10131330305568
1150773596420
12215523062a8
13c4cc6908a7
1464dc038760
153639a3d1e8
hex1e93e56e20

131330305568 has 48 divisors (see below), whose sum is σ = 322356210624. Its totient is φ = 51167650560.

The previous prime is 131330305567. The next prime is 131330305591. The reversal of 131330305568 is 865503033131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131330305567) 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, 26647355 + ... + 26652282.

It is an arithmetic number, because the mean of its divisors is an integer number (6715754388).

Almost surely, 2131330305568 is an apocalyptic number.

It is an amenable number.

131330305568 is an abundant number, since it is smaller than the sum of its proper divisors (191025905056).

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

131330305568 is a wasteful number, since it uses less digits than its factorization.

131330305568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53299665 (or 53299657 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

Adding to 131330305568 its reverse (865503033131), we get a palindrome (996833338699).

The spelling of 131330305568 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 53299637 106599274 213198548 373097459 426397096 586296007 746194918 852794192 1172592014 1492389836 1705588384 2345184028 2984779672 4104072049 4690368056 5969559344 8208144098 9380736112 11939118688 16416288196 18761472224 32832576392 65665152784 131330305568