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131103210133 = 72236112171567
BaseRepresentation
bin111101000011001011…
…1000011101010010101
3110112101210211010102101
41322012113003222111
54121444410211013
6140121124442101
712320600620300
oct1720627035225
9415353733371
10131103210133
1150667387245
12214aa249331
13c49460a6ac
1464b9c01b37
153624b308dd
hex1e865c3a95

131103210133 has 48 divisors (see below), whose sum is σ = 161983632384. Its totient is φ = 105571952640.

The previous prime is 131103210019. The next prime is 131103210157. The reversal of 131103210133 is 331012301131.

It is not a de Polignac number, because 131103210133 - 217 = 131103079061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131103210133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103216133) 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 47 ways as a sum of consecutive naturals, for example, 83664316 + ... + 83665882.

It is an arithmetic number, because the mean of its divisors is an integer number (3374659008).

Almost surely, 2131103210133 is an apocalyptic number.

It is an amenable number.

131103210133 is a deficient number, since it is larger than the sum of its proper divisors (30880422251).

131103210133 is a wasteful number, since it uses less digits than its factorization.

131103210133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131103210133 its reverse (331012301131), we get a palindrome (462115511264).

The spelling of 131103210133 in words is "one hundred thirty-one billion, one hundred three million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 7 23 49 61 161 427 1127 1217 1403 1567 2989 8519 9821 10969 27991 36041 59633 68747 74237 76783 95587 195937 252287 519659 669109 1371559 1707451 1766009 1907039 2198501 3637613 4683763 11952157 13349273 15389507 43861897 83665099 93444911 107726549 116329379 307033279 814305653 2149232953 2675575717 5700139571 18729030019 131103210133