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1003313121330 = 235132572597747
BaseRepresentation
bin11101001100110100001…
…11110100100000110010
310112220201121122102112110
432212122013310200302
5112414241124340310
62044525442110150
7132326014550622
oct16463207644062
93486647572473
101003313121330
11357559111aa3
1214254764b356
13737c57c3370
14367bc47a882
151b17255bd20
hexe99a1f4832

1003313121330 has 32 divisors (see below), whose sum is σ = 2593178529984. Its totient is φ = 246969383616.

The previous prime is 1003313121323. The next prime is 1003313121361. The reversal of 1003313121330 is 331213133001.

It is a junction number, because it is equal to n+sod(n) for n = 1003313121297 and 1003313121306.

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 15 ways as a sum of consecutive naturals, for example, 1286298484 + ... + 1286299263.

It is an arithmetic number, because the mean of its divisors is an integer number (81036829062).

Almost surely, 21003313121330 is an apocalyptic number.

1003313121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003313121330 is an abundant number, since it is smaller than the sum of its proper divisors (1589865408654).

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

1003313121330 is a wasteful number, since it uses less digits than its factorization.

1003313121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572597770.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1003313121330 its reverse (331213133001), we get a palindrome (1334526254331).

The spelling of 1003313121330 in words is "one trillion, three billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2572597747 5145195494 7717793241 12862988735 15435586482 25725977470 33443770711 38588966205 66887541422 77177932410 100331312133 167218853555 200662624266 334437707110 501656560665 1003313121330