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1003402131199 = 13531456316591
BaseRepresentation
bin11101001100111110110…
…11010111011011111111
310112220221211010121010021
432212133123113123333
5112414431421144244
62044542341553011
7132331145250616
oct16463733273377
93486854117107
101003402131199
113575a4387476
12142571415767
137380b089720
14367ca20a87d
151b17a290284
hexe99f6d76ff

1003402131199 has 8 divisors (see below), whose sum is σ = 1100975343552. Its totient is φ = 908741552160.

The previous prime is 1003402131167. The next prime is 1003402131229. The reversal of 1003402131199 is 9911312043001.

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

It is not a de Polignac number, because 1003402131199 - 25 = 1003402131167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003402131119) 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 7 ways as a sum of consecutive naturals, for example, 728157607 + ... + 728158984.

It is an arithmetic number, because the mean of its divisors is an integer number (137621917944).

Almost surely, 21003402131199 is an apocalyptic number.

1003402131199 is a deficient number, since it is larger than the sum of its proper divisors (97573212353).

1003402131199 is a wasteful number, since it uses less digits than its factorization.

1003402131199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456316657.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 1003402131199 in words is "one trillion, three billion, four hundred two million, one hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 13 53 689 1456316591 18932115683 77184779323 1003402131199