Search a number
-
+
13201312022320 = 245165016400279
BaseRepresentation
bin1100000000011010101110…
…0000110111111100110000
31201202000220010120212001011
43000012223200313330300
53212242241334203240
644024333215520304
72531522550510352
oct300065340677460
951660803525034
1013201312022320
11422a71052a764
121592604829094
13749b55a61756
14338d384770d2
1517d5e2dc36ea
hexc01ab837f30

13201312022320 has 20 divisors (see below), whose sum is σ = 30693050452080. Its totient is φ = 5280524808896.

The previous prime is 13201312022299. The next prime is 13201312022333. The reversal of 13201312022320 is 2322021310231.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×132013120223202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13201312022291 and 13201312022300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82508200060 + ... + 82508200219.

It is an arithmetic number, because the mean of its divisors is an integer number (1534652522604).

Almost surely, 213201312022320 is an apocalyptic number.

13201312022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201312022320 is an abundant number, since it is smaller than the sum of its proper divisors (17491738429760).

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

13201312022320 is a wasteful number, since it uses less digits than its factorization.

13201312022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165016400292 (or 165016400286 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13201312022320 its reverse (2322021310231), we get a palindrome (15523333332551).

The spelling of 13201312022320 in words is "thirteen trillion, two hundred one billion, three hundred twelve million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 165016400279 330032800558 660065601116 825082001395 1320131202232 1650164002790 2640262404464 3300328005580 6600656011160 13201312022320