Search a number
-
+
131223002220 = 223252101734687
BaseRepresentation
bin111101000110110000…
…0000001110001101100
3110112201011020012021100
41322031200001301230
54122221042032340
6140141044203100
712323554054332
oct1721540016154
9415634205240
10131223002220
1150718a66872
1221522399490
13c4b3390a9b
1464cbaa5b52
1536303e4830
hex1e8d801c6c

131223002220 has 72 divisors (see below), whose sum is σ = 398073521664. Its totient is φ = 34990126848.

The previous prime is 131223002203. The next prime is 131223002243. The reversal of 131223002220 is 22200322131.

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 = 131223002193 and 131223002202.

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, 3765717 + ... + 3800403.

It is an arithmetic number, because the mean of its divisors is an integer number (5528798912).

Almost surely, 2131223002220 is an apocalyptic number.

131223002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223002220 is an abundant number, since it is smaller than the sum of its proper divisors (266850519444).

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

131223002220 is a wasteful number, since it uses less digits than its factorization.

131223002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55719 (or 55714 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131223002220 its reverse (22200322131), we get a palindrome (153423324351).

The spelling of 131223002220 in words is "one hundred thirty-one billion, two hundred twenty-three million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21017 34687 42034 63051 69374 84068 104061 105085 126102 138748 173435 189153 208122 210170 252204 312183 315255 346870 378306 416244 420340 520305 624366 630510 693740 756612 945765 1040610 1248732 1261020 1560915 1891530 2081220 3121830 3783060 6243660 729016679 1458033358 2187050037 2916066716 3645083395 4374100074 6561150111 7290166790 8748200148 10935250185 13122300222 14580333580 21870500370 26244600444 32805750555 43741000740 65611501110 131223002220