Search a number
-
+
1003102320331 = 172271543168463
BaseRepresentation
bin11101001100011011000…
…11101011011011001011
310112220011220222121221001
432212031203223123023
5112413323143222311
62044452511555431
7132320545016506
oct16461543533313
93486156877831
101003102320331
113574601220a1
121424a8b2bb77
1373790c26a47
143679c48613d
151b15dcbc4c1
hexe98d8eb6cb

1003102320331 has 16 divisors (see below), whose sum is σ = 1067484939264. Its totient is φ = 939322548864.

The previous prime is 1003102320317. The next prime is 1003102320361. The reversal of 1003102320331 is 1330232013001.

It is a cyclic number.

It is not a de Polignac number, because 1003102320331 - 231 = 1000954836683 is a prime.

It is a super-2 number, since 2×10031023203312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003102320299 and 1003102320308.

It is not an unprimeable number, because it can be changed into a prime (1003102320361) 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 15 ways as a sum of consecutive naturals, for example, 5870206 + ... + 6038668.

It is an arithmetic number, because the mean of its divisors is an integer number (66717808704).

Almost surely, 21003102320331 is an apocalyptic number.

1003102320331 is a deficient number, since it is larger than the sum of its proper divisors (64382618933).

1003102320331 is a wasteful number, since it uses less digits than its factorization.

1003102320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170250.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1003102320331 its reverse (1330232013001), we get a palindrome (2333334333332).

The spelling of 1003102320331 in words is "one trillion, three billion, one hundred two million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 17 227 1543 3859 26231 168463 350261 2863871 5954437 38241101 259938409 650098717 4418952953 59006018843 1003102320331