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1003202113320 = 23325111791415273
BaseRepresentation
bin11101001100100111000…
…00010110111100101000
310112220102212202122011200
432212103200112330220
5112414024220111240
62044510434524200
7132323166160251
oct16462340267450
93486385678150
101003202113320
11357501492040
12142516436660
13737a87c7254
14367ab821b28
151b167930930
hexe993816f28

1003202113320 has 192 divisors, whose sum is σ = 3576680452800. Its totient is φ = 241841679360.

The previous prime is 1003202113297. The next prime is 1003202113343. The reversal of 1003202113320 is 233112023001.

1003202113320 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 2 + 11 + 332 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1003202113297) and next prime (1003202113343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1003202113293 and 1003202113302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1204 + ... + 1416476.

It is an arithmetic number, because the mean of its divisors is an integer number (18628544025).

Almost surely, 21003202113320 is an apocalyptic number.

1003202113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003202113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788340226400).

1003202113320 is an abundant number, since it is smaller than the sum of its proper divisors (2573478339480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003202113320 is a wasteful number, since it uses less digits than its factorization.

1003202113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415480 (or 1415473 counting only the distinct ones).

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

Adding to 1003202113320 its reverse (233112023001), we get a palindrome (1236314136321).

The spelling of 1003202113320 in words is "one trillion, three billion, two hundred two million, one hundred thirteen thousand, three hundred twenty".