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131132232220 = 225112801212801
BaseRepresentation
bin111101000100000010…
…1110001001000011100
3110112110211102121020111
41322020011301020130
54122024322412340
6140124042455404
712321402403633
oct1721005611034
9415424377214
10131132232220
11506817a9a40
12214b7b04564
13c49a62c522
1464bd9d851a
153627464aea
hex1e8817121c

131132232220 has 48 divisors (see below), whose sum is σ = 300520686816. Its totient is φ = 47667200000.

The previous prime is 131132232211. The next prime is 131132232247. The reversal of 131132232220 is 22232231131.

It is a super-2 number, since 2×1311322322202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131132232191 and 131132232200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509820 + ... + 722620.

It is an arithmetic number, because the mean of its divisors is an integer number (6260847642).

Almost surely, 2131132232220 is an apocalyptic number.

131132232220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132232220 is an abundant number, since it is smaller than the sum of its proper divisors (169388454596).

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

131132232220 is a wasteful number, since it uses less digits than its factorization.

131132232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215622 (or 215620 counting only the distinct ones).

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

Adding to 131132232220 its reverse (22232231131), we get a palindrome (153364463351).

The spelling of 131132232220 in words is "one hundred thirty-one billion, one hundred thirty-two million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2801 5602 11204 14005 28010 30811 56020 61622 123244 154055 212801 308110 425602 616220 851204 1064005 2128010 2340811 4256020 4681622 9363244 11704055 23408110 46816220 596055601 1192111202 2384222404 2980278005 5960556010 6556611611 11921112020 13113223222 26226446444 32783058055 65566116110 131132232220