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131130123200 = 2652197941413
BaseRepresentation
bin111101000011111110…
…1101110001111000000
3110112110200110110012122
41322013331232033000
54122023302420300
6140123525343412
712321345441116
oct1720775561700
9415420413178
10131130123200
115068059944a
12214b7267b68
13c49a07159b
1464bd609ab6
153627199c85
hex1e87f6e3c0

131130123200 has 84 divisors (see below), whose sum is σ = 322832897640. Its totient is φ = 52424279040.

The previous prime is 131130123197. The next prime is 131130123253. The reversal of 131130123200 is 2321031131.

It is a congruent number.

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, 3145694 + ... + 3187106.

Almost surely, 2131130123200 is an apocalyptic number.

131130123200 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 131130123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161416448820).

131130123200 is an abundant number, since it is smaller than the sum of its proper divisors (191702774440).

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

131130123200 is a wasteful number, since it uses less digits than its factorization.

131130123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43414 (or 43399 counting only the distinct ones).

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

Adding to 131130123200 its reverse (2321031131), we get a palindrome (133451154331).

The spelling of 131130123200 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1979 3958 7916 9895 15832 19790 31664 39580 41413 49475 63328 79160 82826 98950 126656 158320 165652 197900 207065 316640 331304 395800 414130 633280 662608 791600 828260 1035325 1325216 1583200 1656520 2070650 2650432 3166400 3313040 4141300 6626080 8282600 13252160 16565200 33130400 66260800 81956327 163912654 327825308 409781635 655650616 819563270 1311301232 1639126540 2048908175 2622602464 3278253080 4097816350 5245204928 6556506160 8195632700 13113012320 16391265400 26226024640 32782530800 65565061600 131130123200