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102103132230333 = 3213872676343849
BaseRepresentation
bin10111001101110010111100…
…111011010101001010111101
3111101111222000211122111202100
4113031302330323111022331
5101340324203322332313
61001053310441215313
730335464541141553
oct2715627473251275
9441458024574670
10102103132230333
112a595771359073
12b550330491539
1344c83900bac80
141b2db64709bd3
15bc0e0b99a173
hex5cdcbced52bd

102103132230333 has 12 divisors (see below), whose sum is σ = 158827094580700. Its totient is φ = 62832696757056.

The previous prime is 102103132230317. The next prime is 102103132230343. The reversal of 102103132230333 is 333032231301201.

102103132230333 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 3 + 1 + 322 + 3 + 0 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60949842333444 + 41153289896889 = 7807038^2 + 6415083^2 .

It is not a de Polignac number, because 102103132230333 - 24 = 102103132230317 is a prime.

It is a super-2 number, since 2×1021031322303332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102103132230297 and 102103132230306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102103132230343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436338171808 + ... + 436338172041.

Almost surely, 2102103132230333 is an apocalyptic number.

102103132230333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102103132230333 is a deficient number, since it is larger than the sum of its proper divisors (56723962350367).

102103132230333 is a wasteful number, since it uses less digits than its factorization.

102103132230333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872676343868 (or 872676343865 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 102103132230333 its reverse (333032231301201), we get a palindrome (435135363531534).

The spelling of 102103132230333 in words is "one hundred two trillion, one hundred three billion, one hundred thirty-two million, two hundred thirty thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 872676343849 2618029031547 7854087094641 11344792470037 34034377410111 102103132230333