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102103003330031 = 1141226392468581
BaseRepresentation
bin10111001101110010110101…
…001111100111010111101111
3111101111221200212002200210002
4113031302311033213113233
5101340323422323030111
61001053245554334515
730335461414411124
oct2715626517472757
9441457625080702
10102103003330031
112a5957056183a0
12b5502b528a43b
1344c836c498bc2
141b2db5155474b
15bc0e004d763b
hex5cdcb53e75ef

102103003330031 has 8 divisors (see below), whose sum is σ = 114101804165328. Its totient is φ = 90556987432000.

The previous prime is 102103003330019. The next prime is 102103003330049. The reversal of 102103003330031 is 130033300301201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102103003330031 is a prime.

It is a super-2 number, since 2×1021030033300312 (a number of 29 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 = 102103003329985 and 102103003330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102103003360031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113196233840 + ... + 113196234741.

It is an arithmetic number, because the mean of its divisors is an integer number (14262725520666).

Almost surely, 2102103003330031 is an apocalyptic number.

102103003330031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102103003330031 is a deficient number, since it is larger than the sum of its proper divisors (11998800835297).

102103003330031 is a wasteful number, since it uses less digits than its factorization.

102103003330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226392468633.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 102103003330031 its reverse (130033300301201), we get a palindrome (232136303631232).

The spelling of 102103003330031 in words is "one hundred two trillion, one hundred three billion, three million, three hundred thirty thousand, thirty-one".

Divisors: 1 11 41 451 226392468581 2490317154391 9282091211821 102103003330031