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20413131210 = 23251018812549
BaseRepresentation
bin10011000000101101…
…111010100111001010
31221200121220111201200
4103000231322213022
5313301230144320
613213324125030
71321566516033
oct230055724712
957617814650
1020413131210
11872575367a
123b58396776
131c04166084
14db9107a8a
157e7175290
hex4c0b7a9ca

20413131210 has 96 divisors (see below), whose sum is σ = 53681518800. Its totient is φ = 5381376000.

The previous prime is 20413131187. The next prime is 20413131217. The reversal of 20413131210 is 1213131402.

It can be written as a sum of positive squares in 8 ways, for example, as 15953963481 + 4459167729 = 126309^2 + 66777^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20413131217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8007016 + ... + 8009564.

Almost surely, 220413131210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26840759400).

20413131210 is an abundant number, since it is smaller than the sum of its proper divisors (33268387590).

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

20413131210 is a wasteful number, since it uses less digits than its factorization.

20413131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3541 counting only the distinct ones).

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

Adding to 20413131210 its reverse (1213131402), we get a palindrome (21626262612).

The spelling of 20413131210 in words is "twenty billion, four hundred thirteen million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 881 909 1010 1515 1762 1818 2549 2643 3030 4405 4545 5098 5286 7647 7929 8810 9090 12745 13215 15294 15858 22941 25490 26430 38235 39645 45882 76470 79290 88981 114705 177962 229410 257449 266943 444905 514898 533886 772347 800829 889810 1287245 1334715 1544694 1601658 2245669 2317041 2574490 2669430 3861735 4004145 4491338 4634082 6737007 7723470 8008290 11228345 11585205 13474014 20211021 22456690 23170410 33685035 40422042 67370070 101055105 202110210 226812569 453625138 680437707 1134062845 1360875414 2041313121 2268125690 3402188535 4082626242 6804377070 10206565605 20413131210