Search a number
-
+
131400732071200 = 2552433819788723
BaseRepresentation
bin11101111000001000011101…
…111101010101010100100000
3122020020210020221112011010211
4131320020131331111110200
5114210332144402234300
61143244355111303504
736451250430646054
oct3570103575252440
9566223227464124
10131400732071200
113896081270a439
12128a241337ab94
135842060a4a087
142463b87acdc64
15102d07bb134ba
hex77821df55520

131400732071200 has 72 divisors (see below), whose sum is σ = 328242084630768. Its totient is φ = 51337960423680.

The previous prime is 131400732071173. The next prime is 131400732071207. The reversal of 131400732071200 is 2170237004131.

131400732071200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131400732071207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1909859962 + ... + 1909928761.

It is an arithmetic number, because the mean of its divisors is an integer number (4558917842094).

Almost surely, 2131400732071200 is an apocalyptic number.

131400732071200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131400732071200 is an abundant number, since it is smaller than the sum of its proper divisors (196841352559568).

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

131400732071200 is a wasteful number, since it uses less digits than its factorization.

131400732071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819788786 (or 3819788773 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

Adding to 131400732071200 its reverse (2170237004131), we get a palindrome (133570969075331).

The spelling of 131400732071200 in words is "one hundred thirty-one trillion, four hundred billion, seven hundred thirty-two million, seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 430 688 800 860 1075 1376 1720 2150 3440 4300 6880 8600 17200 34400 3819788723 7639577446 15279154892 19098943615 30558309784 38197887230 61116619568 76395774460 95494718075 122233239136 152791548920 164250915089 190989436150 305583097840 328501830178 381978872300 611166195680 657003660356 763957744600 821254575445 1314007320712 1527915489200 1642509150890 2628014641424 3055830978400 3285018301780 4106272877225 5256029282848 6570036603560 8212545754450 13140073207120 16425091508900 26280146414240 32850183017800 65700366035600 131400732071200