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14131310220 = 223552907677
BaseRepresentation
bin11010010100100101…
…01010111010001100
31100110211112221100000
431022102222322030
5212420103411340
610254123004300
71010121104106
oct151222527214
940424487300
1014131310220
115aa1835585
1228a4669690
131442895b31
14980ad8576
1557a91ed30
hex34a4aae8c

14131310220 has 72 divisors (see below), whose sum is σ = 44452581264. Its totient is φ = 3768348096.

The previous prime is 14131310213. The next prime is 14131310257. The reversal of 14131310220 is 2201313141.

14131310220 is a `hidden beast` number, since 1 + 4 + 131 + 310 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14131310193 and 14131310202.

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, 1448979 + ... + 1458698.

It is an arithmetic number, because the mean of its divisors is an integer number (617396962).

Almost surely, 214131310220 is an apocalyptic number.

14131310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131310220 is an abundant number, since it is smaller than the sum of its proper divisors (30321271044).

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

14131310220 is a wasteful number, since it uses less digits than its factorization.

14131310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907701 (or 2907687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14131310220 its reverse (2201313141), we get a palindrome (16332623361).

The spelling of 14131310220 in words is "fourteen billion, one hundred thirty-one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 2907677 5815354 8723031 11630708 14538385 17446062 26169093 29076770 34892124 43615155 52338186 58153540 78507279 87230310 104676372 130845465 157014558 174460620 235521837 261690930 314029116 392536395 471043674 523381860 706565511 785072790 942087348 1177609185 1413131022 1570145580 2355218370 2826262044 3532827555 4710436740 7065655110 14131310220