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102113020233 = 32717132771849
BaseRepresentation
bin101111100011001101…
…0010000100101001001
3100202120102122220002100
41133012122100211021
53133111413121413
6114524324224013
710243312231230
oct1370632204511
9322512586070
10102113020233
113a340157514
121795953b009
139824508a83
144d29939b17
1529c99c4a73
hex17c6690949

102113020233 has 48 divisors (see below), whose sum is σ = 178620249600. Its totient is φ = 54875778048.

The previous prime is 102113020201. The next prime is 102113020297. The reversal of 102113020233 is 332020311201.

It is not a de Polignac number, because 102113020233 - 25 = 102113020201 is a prime.

It is a super-2 number, since 2×1021130202332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102113020733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385293 + ... + 1457141.

It is an arithmetic number, because the mean of its divisors is an integer number (3721255200).

Almost surely, 2102113020233 is an apocalyptic number.

It is an amenable number.

102113020233 is a deficient number, since it is larger than the sum of its proper divisors (76507229367).

102113020233 is a wasteful number, since it uses less digits than its factorization.

102113020233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73206 (or 73203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102113020233 its reverse (332020311201), we get a palindrome (434133331434).

The spelling of 102113020233 in words is "one hundred two billion, one hundred thirteen million, twenty thousand, two hundred thirty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1327 3981 9289 11943 22559 27867 67677 71849 83601 157913 203031 215547 473739 502943 646641 1221433 1421217 1508829 3664299 4526487 8550031 10992897 25650093 76950279 95343623 286030869 667405361 858092607 1620841591 2002216083 4862524773 6006648249 11345891137 14587574319 34037673411 102113020233