Search a number
-
+
131141324310000 = 2435411933664189
BaseRepresentation
bin11101110100010110111000…
…000011010000010111110000
3122012022222200101001111210120
4131310112320003100113300
5114142104413010410000
61142525254230530240
736423435161240064
oct3564267003202760
9565288611044716
10131141324310000
11388707a57a8a34
1212860098206980
13582375c8acaa4
1424553b9a81aa4
151026447e246a0
hex7745b80d05f0

131141324310000 has 200 divisors, whose sum is σ = 423696650733840. Its totient is φ = 34941696768000.

The previous prime is 131141324309993. The next prime is 131141324310011. The reversal of 131141324310000 is 13423141131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1311413243100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33957906 + ... + 37622094.

Almost surely, 2131141324310000 is an apocalyptic number.

131141324310000 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 131141324310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211848325366920).

131141324310000 is an abundant number, since it is smaller than the sum of its proper divisors (292555326423840).

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

131141324310000 is a wasteful number, since it uses less digits than its factorization.

131141324310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665413 (or 3665392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141324310000 its reverse (13423141131), we get a palindrome (131154747451131).

The spelling of 131141324310000 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, three hundred ten thousand".