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103210220113 = 71113103107113
BaseRepresentation
bin110000000011111001…
…1101111101001010001
3100212101220020102100221
41200013303233221101
53142333304020423
6115225241113041
710312434252550
oct1400763575121
9325356212327
10103210220113
113a853529a80
1218004a88781
13996a919080
144dd1549d97
152a40ea5e5d
hex1807cefa51

103210220113 has 16 divisors (see below), whose sum is σ = 138575961216. Its totient is φ = 74237120640.

The previous prime is 103210220101. The next prime is 103210220137. The reversal of 103210220113 is 311022012301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103210220113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103210220153) 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 15 ways as a sum of consecutive naturals, for example, 51552556 + ... + 51554557.

It is an arithmetic number, because the mean of its divisors is an integer number (8660997576).

Almost surely, 2103210220113 is an apocalyptic number.

103210220113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103210220113 is a deficient number, since it is larger than the sum of its proper divisors (35365741103).

103210220113 is a wasteful number, since it uses less digits than its factorization.

103210220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103107144.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103210220113 its reverse (311022012301), we get a palindrome (414232232414).

It can be divided in two parts, 103210 and 220113, that added together give a palindrome (323323).

The spelling of 103210220113 in words is "one hundred three billion, two hundred ten million, two hundred twenty thousand, one hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 103107113 721749791 1134178243 1340392469 7939247701 9382747283 14744317159 103210220113