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1003320132229 = 12132189337781
BaseRepresentation
bin11101001100110101000…
…10100100001010000101
310112220202002211121200101
432212122202210022011
5112414244423212404
62044530252244101
7132326131260562
oct16463242441205
93486662747611
101003320132229
11357562070428
12142549a70631
13737c70a951c
14367bd383869
151b172e942a4
hexe99a8a4285

1003320132229 has 8 divisors (see below), whose sum is σ = 1004219717112. Its totient is φ = 1002420669120.

The previous prime is 1003320132223. The next prime is 1003320132239. The reversal of 1003320132229 is 9222310233001.

It can be written as a sum of positive squares in 4 ways, for example, as 162972075204 + 840348057025 = 403698^2 + 916705^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1003320132229 - 217 = 1003320001157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003320132197 and 1003320132206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003320132223) 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 7 ways as a sum of consecutive naturals, for example, 26537319 + ... + 26575099.

It is an arithmetic number, because the mean of its divisors is an integer number (125527464639).

Almost surely, 21003320132229 is an apocalyptic number.

It is an amenable number.

1003320132229 is a deficient number, since it is larger than the sum of its proper divisors (899584883).

1003320132229 is a wasteful number, since it uses less digits than its factorization.

1003320132229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60887.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 1003320132229 in words is "one trillion, three billion, three hundred twenty million, one hundred thirty-two thousand, two hundred twenty-nine".

Divisors: 1 1213 21893 37781 26556209 45828353 827139433 1003320132229