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131344031200 = 25521049156511
BaseRepresentation
bin111101001010010110…
…1101101110111100000
3110120000120222002211011
41322110231231313200
54122443032444300
6140201050230304
712326553562444
oct1722455556740
9416016862734
10131344031200
1150780310718
1221556a25394
13c502488175
1464ddbac824
15363ad4eeba
hex1e94b6dde0

131344031200 has 72 divisors (see below), whose sum is σ = 320951332800. Its totient is φ = 52487193600.

The previous prime is 131344031191. The next prime is 131344031227. The reversal of 131344031200 is 2130443131.

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, 760945 + ... + 917455.

It is an arithmetic number, because the mean of its divisors is an integer number (4457657400).

Almost surely, 2131344031200 is an apocalyptic number.

131344031200 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 131344031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160475666400).

131344031200 is an abundant number, since it is smaller than the sum of its proper divisors (189607301600).

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

131344031200 is a wasteful number, since it uses less digits than its factorization.

131344031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157580 (or 157567 counting only the distinct ones).

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

Adding to 131344031200 its reverse (2130443131), we get a palindrome (133474474331).

The spelling of 131344031200 in words is "one hundred thirty-one billion, three hundred forty-four million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1049 2098 4196 5245 8392 10490 16784 20980 26225 33568 41960 52450 83920 104900 156511 167840 209800 313022 419600 626044 782555 839200 1252088 1565110 2504176 3130220 3912775 5008352 6260440 7825550 12520880 15651100 25041760 31302200 62604400 125208800 164180039 328360078 656720156 820900195 1313440312 1641800390 2626880624 3283600780 4104500975 5253761248 6567201560 8209001950 13134403120 16418003900 26268806240 32836007800 65672015600 131344031200