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103210034013 = 3219961993097
BaseRepresentation
bin110000000011111001…
…1000010001101011101
3100212101212212222002100
41200013303002031131
53142333232042023
6115225233115313
710312432546152
oct1400763021535
9325355788070
10103210034013
113a853412179
12180049b8b39
13996a882458
144dd14dc229
152a40e6ac43
hex1807cc235d

103210034013 has 24 divisors (see below), whose sum is σ = 150073976000. Its totient is φ = 68349593664.

The previous prime is 103210034003. The next prime is 103210034063. The reversal of 103210034013 is 310430012301.

103210034013 is a `hidden beast` number, since 1 + 0 + 321 + 0 + 0 + 340 + 1 + 3 = 666.

It is not a de Polignac number, because 103210034013 - 28 = 103210033757 is a prime.

It is a super-2 number, since 2×1032100340132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210034003) 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 23 ways as a sum of consecutive naturals, for example, 1062081 + ... + 1155177.

Almost surely, 2103210034013 is an apocalyptic number.

It is an amenable number.

103210034013 is a deficient number, since it is larger than the sum of its proper divisors (46863941987).

103210034013 is a wasteful number, since it uses less digits than its factorization.

103210034013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93921 (or 93918 counting only the distinct ones).

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

Adding to 103210034013 its reverse (310430012301), we get a palindrome (413640046314).

The spelling of 103210034013 in words is "one hundred three billion, two hundred ten million, thirty-four thousand, thirteen".

Divisors: 1 3 9 199 597 619 1791 1857 5571 93097 123181 279291 369543 837873 1108629 18526303 55578909 57627043 166736727 172881129 518643387 11467781557 34403344671 103210034013