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103101531142435 = 57172277227316189
BaseRepresentation
bin10111011100010100110010…
…001000111011100100100011
3111112001102001222100020112121
4113130110302020323210203
5102003203413433024220
61003140104535005111
730500561024650060
oct2734246210734443
9445042058306477
10103101531142435
112a940128529a21
12b691926209797
13456b58175c807
141b661d8257c67
15bdbd92899eaa
hex5dc53223b923

103101531142435 has 96 divisors (see below), whose sum is σ = 150820965924480. Its totient is φ = 66265999147008.

The previous prime is 103101531142433. The next prime is 103101531142459. The reversal of 103101531142435 is 534241135101301.

It is not a de Polignac number, because 103101531142435 - 21 = 103101531142433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103101531142435.

It is not an unprimeable number, because it can be changed into a prime (103101531142433) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6368608321 + ... + 6368624509.

It is an arithmetic number, because the mean of its divisors is an integer number (1571051728380).

Almost surely, 2103101531142435 is an apocalyptic number.

103101531142435 is a deficient number, since it is larger than the sum of its proper divisors (47719434782045).

103101531142435 is a wasteful number, since it uses less digits than its factorization.

103101531142435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18785 (or 18768 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 103101531142435 its reverse (534241135101301), we get a palindrome (637342666243736).

The spelling of 103101531142435 in words is "one hundred three trillion, one hundred one billion, five hundred thirty-one million, one hundred forty-two thousand, four hundred thirty-five".

Divisors: 1 5 7 17 35 85 119 277 289 595 1385 1445 1939 2023 2273 4709 9695 10115 11365 15911 16189 23545 32963 38641 79555 80053 80945 113323 164815 193205 270487 275213 400265 560371 566615 629621 656897 1352435 1376065 1926491 2801855 3148105 3284485 4407347 4484353 4598279 4678621 9632455 10703557 22036735 22421765 22991395 23393105 31390471 32750347 36797597 53517785 74924899 76234001 156952355 163751735 181960469 183987985 257583179 374624495 381170005 533638007 625559149 909802345 1273723283 1287915895 1295978017 2668190035 3127795745 4378914043 6368616415 6479890085 9071846119 10192934369 10634505533 21894570215 45359230595 50964671845 53172527665 71350540583 74441538731 173279884273 356752702915 372207693655 866399421365 1212959189911 2945758032641 6064795949555 14728790163205 20620306228487 103101531142435