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131130132200 = 23523971651513
BaseRepresentation
bin111101000011111110…
…1110000011011101000
3110112110200110220112222
41322013331300123220
54122023303212300
6140123525453212
712321345506264
oct1720775603350
9415420426488
10131130132200
11506805a5191
12214b7271208
13c49a075702
1464bd60d0a4
15362719c785
hex1e87f706e8

131130132200 has 48 divisors (see below), whose sum is σ = 305645695980. Its totient is φ = 52319900160.

The previous prime is 131130132169. The next prime is 131130132227. The reversal of 131130132200 is 2231031131.

It can be written as a sum of positive squares in 6 ways, for example, as 62709174724 + 68420957476 = 250418^2 + 261574^2 .

It is a super-2 number, since 2×1311301322002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746357 + ... + 905156.

Almost surely, 2131130132200 is an apocalyptic number.

131130132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130132200 is an abundant number, since it is smaller than the sum of its proper divisors (174515563780).

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

131130132200 is a wasteful number, since it uses less digits than its factorization.

131130132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651926 (or 1651917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131130132200 its reverse (2231031131), we get a palindrome (133361163331).

The spelling of 131130132200 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 397 794 1588 1985 3176 3970 7940 9925 15880 19850 39700 79400 1651513 3303026 6606052 8257565 13212104 16515130 33030260 41287825 66060520 82575650 165151300 330302600 655650661 1311301322 2622602644 3278253305 5245205288 6556506610 13113013220 16391266525 26226026440 32782533050 65565066100 131130132200