Search a number
-
+
131360036800 = 26524710871607
BaseRepresentation
bin111101001010110101…
…0110001011111000000
3110120001201002021101011
41322111222301133000
54123011132134200
6140202421250304
712330136614136
oct1722552613700
9416051067334
10131360036800
1150789352993
1221560263994
13c5058a0435
146501d77756
15363c4625ba
hex1e95ab17c0

131360036800 has 168 divisors, whose sum is σ = 330614267904. Its totient is φ = 51346775040.

The previous prime is 131360036777. The next prime is 131360036851. The reversal of 131360036800 is 8630063131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81741597 + ... + 81743203.

Almost surely, 2131360036800 is an apocalyptic number.

131360036800 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 131360036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165307133952).

131360036800 is an abundant number, since it is smaller than the sum of its proper divisors (199254231104).

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

131360036800 is a wasteful number, since it uses less digits than its factorization.

131360036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 131360036800 its reverse (8630063131), we get a palindrome (139990099931).

The spelling of 131360036800 in words is "one hundred thirty-one billion, three hundred sixty million, thirty-six thousand, eight hundred".