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103201320331 = 4717919363559
BaseRepresentation
bin110000000011101000…
…1110010110110001011
3100212101021111021011101
41200013101302312023
53142324014222311
6115224322242231
710312265514634
oct1400721626613
9325337437141
10103201320331
113a84950048a
1218001ab6377
139968b21225
144dd02b088b
152a402e8ec1
hex1807472d8b

103201320331 has 16 divisors (see below), whose sum is σ = 106536729600. Its totient is φ = 99919277568.

The previous prime is 103201320307. The next prime is 103201320437. The reversal of 103201320331 is 133023102301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103201320331 is a prime.

It is a super-2 number, since 2×1032013203312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103201320299 and 103201320308.

It is not an unprimeable number, because it can be changed into a prime (103201320031) 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 15 ways as a sum of consecutive naturals, for example, 1591930 + ... + 1655488.

It is an arithmetic number, because the mean of its divisors is an integer number (6658545600).

Almost surely, 2103201320331 is an apocalyptic number.

103201320331 is a deficient number, since it is larger than the sum of its proper divisors (3335409269).

103201320331 is a wasteful number, since it uses less digits than its factorization.

103201320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63978.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103201320331 its reverse (133023102301), we get a palindrome (236224422632).

The spelling of 103201320331 in words is "one hundred three billion, two hundred one million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 47 179 193 8413 9071 34547 63559 1623709 2987273 11377061 12266887 534721867 576543689 2195772773 103201320331