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1413113020 = 2251121493919
BaseRepresentation
bin101010000111010…
…0110010010111100
310122111000120122021
41110032212102330
510343224104040
6352115525524
750006156014
oct12416462274
93574016567
101413113020
11665735800
123352b98a4
131969c0267
14d5966c44
15840d524a
hex543a64bc

1413113020 has 72 divisors (see below), whose sum is σ = 3284568000. Its totient is φ = 510280320.

The previous prime is 1413113017. The next prime is 1413113029. The reversal of 1413113020 is 203113141.

It is a junction number, because it is equal to n+sod(n) for n = 1413112985 and 1413113003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413113029) 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, 358621 + ... + 362539.

It is an arithmetic number, because the mean of its divisors is an integer number (45619000).

Almost surely, 21413113020 is an apocalyptic number.

1413113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642284000).

1413113020 is an abundant number, since it is smaller than the sum of its proper divisors (1871454980).

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

1413113020 is a wasteful number, since it uses less digits than its factorization.

1413113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1413113020 is about 37591.3955580263. The cubic root of 1413113020 is about 1122.1708057278.

Adding to 1413113020 its reverse (203113141), we get a palindrome (1616226161).

The spelling of 1413113020 in words is "one billion, four hundred thirteen million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 149 220 242 298 484 596 605 745 1210 1490 1639 2420 2980 3278 3919 6556 7838 8195 15676 16390 18029 19595 32780 36058 39190 43109 72116 78380 86218 90145 172436 180290 215545 360580 431090 474199 583931 862180 948398 1167862 1896796 2335724 2370995 2919655 4741990 5839310 6423241 9483980 11678620 12846482 25692964 32116205 64232410 70655651 128464820 141311302 282622604 353278255 706556510 1413113020