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803138382601 = 3779633272581
BaseRepresentation
bin10111010111111101100…
…01110010101100001001
32211210001002120002120021
423223332301302230021
5101124311411220401
61412542350500441
7112011342420352
oct13537661625411
92753032502507
10803138382601
1128a677752025
1210b7a1504721
135a974222cb9
142ac2d0b0d29
1515d58abd2a1
hexbafec72b09

803138382601 has 8 divisors (see below), whose sum is σ = 824858209544. Its totient is φ = 781419260160.

The previous prime is 803138382593. The next prime is 803138382637. The reversal of 803138382601 is 106283831308.

It can be written as a sum of positive squares in 4 ways, for example, as 267548597001 + 535589785600 = 517251^2 + 731840^2 .

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 803138382601 - 23 = 803138382593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (803138382661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2810131 + ... + 3082711.

It is an arithmetic number, because the mean of its divisors is an integer number (103107276193).

Almost surely, 2803138382601 is an apocalyptic number.

It is an amenable number.

803138382601 is a deficient number, since it is larger than the sum of its proper divisors (21719826943).

803138382601 is a wasteful number, since it uses less digits than its factorization.

803138382601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352251.

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 803138382601 in words is "eight hundred three billion, one hundred thirty-eight million, three hundred eighty-two thousand, six hundred one".

Divisors: 1 37 79633 272581 2946421 10085497 21706442773 803138382601