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1353310373137 = 314350313611483
BaseRepresentation
bin10011101100010111100…
…101011000010100010001
311210101010112020000002111
4103230113211120110101
5134133034423420022
62513411401545321
7166526202241642
oct23542745302421
94711115200074
101353310373137
11481a32474608
1219a344aa5241
139a80293bb28
14497017d56c9
152530921b477
hex13b17958511

1353310373137 has 32 divisors (see below), whose sum is σ = 1434313875456. Its totient is φ = 1274856710400.

The previous prime is 1353310373131. The next prime is 1353310373141. The reversal of 1353310373137 is 7313730133531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1353310373137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1353310373137.

It is not an unprimeable number, because it can be changed into a prime (1353310373131) 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 31 ways as a sum of consecutive naturals, for example, 912548398 + ... + 912549880.

It is an arithmetic number, because the mean of its divisors is an integer number (44822308608).

Almost surely, 21353310373137 is an apocalyptic number.

It is an amenable number.

1353310373137 is a deficient number, since it is larger than the sum of its proper divisors (81003502319).

1353310373137 is a wasteful number, since it uses less digits than its factorization.

1353310373137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421.

The product of its (nonzero) digits is 178605, while the sum is 40.

The spelling of 1353310373137 in words is "one trillion, three hundred fifty-three billion, three hundred ten million, three hundred seventy-three thousand, one hundred thirty-seven".

Divisors: 1 31 43 503 1333 1361 1483 15593 21629 42191 45973 58523 63769 670499 684583 745949 1814213 1976839 2018363 21222073 23124419 29437069 32075807 62569253 86789609 912549139 994350017 1015236589 2690477879 31472334259 43655173327 1353310373137