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1321113420 = 2232511667229
BaseRepresentation
bin100111010111110…
…1001011101001100
310102001220111220200
41032233221131030
510201201112140
6335032013500
744511164424
oct11657513514
93361814820
101321113420
11618809080
1230a531290
1318091b123
14c7659484
157aeb1030
hex4ebe974c

1321113420 has 72 divisors (see below), whose sum is σ = 4371690960. Its totient is φ = 320269440.

The previous prime is 1321113373. The next prime is 1321113421. The reversal of 1321113420 is 243111231.

1321113420 is a `hidden beast` number, since 1 + 321 + 1 + 1 + 342 + 0 = 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 = 1321113393 and 1321113402.

It is not an unprimeable number, because it can be changed into a prime (1321113421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331635 + ... + 335594.

It is an arithmetic number, because the mean of its divisors is an integer number (60717930).

Almost surely, 21321113420 is an apocalyptic number.

1321113420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321113420 is an abundant number, since it is smaller than the sum of its proper divisors (3050577540).

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

1321113420 is a wasteful number, since it uses less digits than its factorization.

1321113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667255 (or 667250 counting only the distinct ones).

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

The square root of 1321113420 is about 36347.1239577494. The cubic root of 1321113420 is about 1097.2696527623.

Adding to 1321113420 its reverse (243111231), we get a palindrome (1564224651).

It can be divided in two parts, 132111 and 3420, that added together give a palindrome (135531).

The spelling of 1321113420 in words is "one billion, three hundred twenty-one million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 667229 1334458 2001687 2668916 3336145 4003374 6005061 6672290 7339519 8006748 10008435 12010122 13344580 14679038 20016870 22018557 24020244 29358076 30025305 36697595 40033740 44037114 60050610 66055671 73395190 88074228 110092785 120101220 132111342 146790380 220185570 264222684 330278355 440371140 660556710 1321113420