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131330550015 = 3457145931751
BaseRepresentation
bin111101001001111101…
…0010010100011111111
3110112222122121012010000
41322103322102203333
54122431110100030
6140155445245343
712326331153630
oct1722372224377
9415878535100
10131330550015
1150773743045
1221552403853
13c4cc747c32
1464dc09d887
153639a8a860
hex1e93e928ff

131330550015 has 80 divisors (see below), whose sum is σ = 269246799360. Its totient is φ = 59993784000.

The previous prime is 131330549983. The next prime is 131330550079. The reversal of 131330550015 is 510055033131.

131330550015 is a `hidden beast` number, since 13 + 133 + 0 + 5 + 500 + 15 = 666.

It is not a de Polignac number, because 131330550015 - 25 = 131330549983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4120390 + ... + 4152140.

It is an arithmetic number, because the mean of its divisors is an integer number (3365584992).

Almost surely, 2131330550015 is an apocalyptic number.

131330550015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131330550015 is an abundant number, since it is smaller than the sum of its proper divisors (137916249345).

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

131330550015 is a wasteful number, since it uses less digits than its factorization.

131330550015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33234 (or 33225 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

Adding to 131330550015 its reverse (510055033131), we get a palindrome (641385583146).

The spelling of 131330550015 in words is "one hundred thirty-one billion, three hundred thirty million, five hundred fifty thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1459 2835 4377 7295 10213 13131 21885 30639 31751 39393 51065 65655 91917 95253 118179 153195 158755 196965 222257 275751 285759 459585 476265 590895 666771 827253 857277 1111285 1378755 1428795 2000313 2571831 3333855 4136265 4286385 6000939 10001565 12859155 18002817 30004695 46324709 90014085 138974127 231623545 324272963 416922381 694870635 972818889 1250767143 1621364815 2084611905 2918456667 3752301429 4864094445 6253835715 8755370001 14592283335 18761507145 26266110003 43776850005 131330550015