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131350003005 = 351317476471303
BaseRepresentation
bin111101001010100010…
…0011111110100111101
3110120001000012111121010
41322111010133310331
54123001100044010
6140201422225433
712326655414114
oct1722504376475
9416030174533
10131350003005
115078371a3a1
1221558a25279
13c503799390
1465008c4c7b
15363b62e620
hex1e9511fd3d

131350003005 has 128 divisors (see below), whose sum is σ = 245304557568. Its totient is φ = 59428196352.

The previous prime is 131350002977. The next prime is 131350003009. The reversal of 131350003005 is 500300053131.

It is a happy number.

It is not a de Polignac number, because 131350003005 - 29 = 131350002493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350003009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100805184 + ... + 100806486.

It is an arithmetic number, because the mean of its divisors is an integer number (1916441856).

Almost surely, 2131350003005 is an apocalyptic number.

131350003005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131350003005 is a deficient number, since it is larger than the sum of its proper divisors (113954554563).

131350003005 is a wasteful number, since it uses less digits than its factorization.

131350003005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 675, while the sum is 21.

Adding to 131350003005 its reverse (500300053131), we get a palindrome (631650056136).

The spelling of 131350003005 in words is "one hundred thirty-one billion, three hundred fifty million, three thousand, five".

Divisors: 1 3 5 13 15 17 39 47 51 65 85 141 195 221 235 255 611 647 663 705 799 1105 1303 1833 1941 2397 3055 3235 3315 3909 3995 6515 8411 9165 9705 10387 10999 11985 16939 19545 22151 25233 30409 31161 32997 42055 50817 51935 54995 61241 66453 84695 91227 110755 126165 142987 152045 155805 164985 183723 254085 287963 306205 332265 395317 428961 456135 516953 714935 796133 843041 863889 918615 1041097 1185951 1439815 1550859 1976585 2144805 2388399 2529123 2584765 3123291 3980665 4215205 4319445 5205485 5929755 6720389 7754295 10959533 11941995 12645615 13534261 14331697 15616455 20161167 32878599 33601945 39622927 40602783 42995091 54797665 67671305 71658485 100805835 118868781 164392995 186312061 198114635 203013915 214975455 515098051 558936183 594343905 673589759 931560305 1545294153 2020769277 2575490255 2794680915 3367948795 7726470765 8756666867 10103846385 26270000601 43783334335 131350003005