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102012302313 = 3329536773631
BaseRepresentation
bin101111100000001101…
…0000011001111101001
3100202022102010220002000
41133000122003033221
53132410122133223
6114510325401213
710240650156045
oct1370032031751
9322272126060
10102012302313
113a299315669
121792b869209
1398096a357c
144d1a3dd025
1529c0c2c543
hex17c06833e9

102012302313 has 64 divisors (see below), whose sum is σ = 159569740800. Its totient is φ = 64311287040.

The previous prime is 102012302309. The next prime is 102012302323. The reversal of 102012302313 is 313203210201.

102012302313 is a `hidden beast` number, since 1 + 0 + 201 + 230 + 231 + 3 = 666.

It is not a de Polignac number, because 102012302313 - 22 = 102012302309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102012302323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28093008 + ... + 28096638.

It is an arithmetic number, because the mean of its divisors is an integer number (2493277200).

Almost surely, 2102012302313 is an apocalyptic number.

It is an amenable number.

102012302313 is a deficient number, since it is larger than the sum of its proper divisors (57557438487).

102012302313 is a wasteful number, since it uses less digits than its factorization.

102012302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4393 counting only the distinct ones).

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

Adding to 102012302313 its reverse (313203210201), we get a palindrome (415215512514).

The spelling of 102012302313 in words is "one hundred two billion, twelve million, three hundred two thousand, three hundred thirteen".

Divisors: 1 3 9 27 29 53 87 159 261 477 677 783 1431 1537 2031 3631 4611 6093 10893 13833 18279 19633 32679 35881 41499 58899 98037 105299 107643 176697 192443 315897 322929 530091 577329 947691 968787 1040549 1731987 2458187 2843073 3121647 5195961 5580847 7374561 9364941 16742541 22123683 28094823 50227623 66371049 71287423 130283911 150682869 213862269 390851733 641586807 1172555199 1924760421 3517665597 3778233419 11334700257 34004100771 102012302313