Search a number
-
+
131986985130 = 2325711213133187
BaseRepresentation
bin111101011101100001…
…0011001000010101010
3110121200101210112210200
41322323002121002222
54130302132011010
6140344535053030
712351521601630
oct1727302310252
9417611715720
10131986985130
1150a80237500
12216b6211176
13c5a5742c90
146561337350
153677504cc0
hex1ebb0990aa

131986985130 has 288 divisors, whose sum is σ = 464248616832. Its totient is φ = 25315994880.

The previous prime is 131986985107. The next prime is 131986985167. The reversal of 131986985130 is 31589689131.

131986985130 is a `hidden beast` number, since 1 + 31 + 9 + 8 + 6 + 98 + 513 + 0 = 666.

It is a super-2 number, since 2×1319869851302 (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 143 ways as a sum of consecutive naturals, for example, 924397 + ... + 1057583.

It is an arithmetic number, because the mean of its divisors is an integer number (1611974364).

Almost surely, 2131986985130 is an apocalyptic number.

131986985130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131986985130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232124308416).

131986985130 is an abundant number, since it is smaller than the sum of its proper divisors (332261631702).

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

131986985130 is a wasteful number, since it uses less digits than its factorization.

131986985130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133242 (or 133228 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 131986985130 in words is "one hundred thirty-one billion, nine hundred eighty-six million, nine hundred eighty-five thousand, one hundred thirty".