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1321013100 = 2235211400307
BaseRepresentation
bin100111010111101…
…0000111101101100
310102001201102022010
41032233100331230
510201134404400
6335025521220
744510266101
oct11657207554
93361642263
101321013100
1161874a770
1230a4a3210
131808b4574
14c7630aa8
157ae91450
hex4ebd0f6c

1321013100 has 72 divisors (see below), whose sum is σ = 4169608128. Its totient is φ = 320244800.

The previous prime is 1321013093. The next prime is 1321013117. The reversal of 1321013100 is 13101231.

It is a super-2 number, since 2×13210131002 = 3490151220743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196854 + ... + 203453.

It is an arithmetic number, because the mean of its divisors is an integer number (57911224).

Almost surely, 21321013100 is an apocalyptic number.

1321013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321013100 is an abundant number, since it is smaller than the sum of its proper divisors (2848595028).

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

1321013100 is a wasteful number, since it uses less digits than its factorization.

1321013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400335 (or 400328 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1321013100 is about 36345.7439048921. The cubic root of 1321013100 is about 1097.2418779888.

Adding to 1321013100 its reverse (13101231), we get a palindrome (1334114331).

The spelling of 1321013100 in words is "one billion, three hundred twenty-one million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 400307 800614 1200921 1601228 2001535 2401842 4003070 4403377 4803684 6004605 8006140 8806754 10007675 12009210 13210131 17613508 20015350 22016885 24018420 26420262 30023025 40030700 44033770 52840524 60046050 66050655 88067540 110084425 120092100 132101310 220168850 264202620 330253275 440337700 660506550 1321013100