Search a number
-
+
131112201030000 = 2435416932581457
BaseRepresentation
bin11101110011111011110000…
…001010110000100101110000
3122012020012111201110121011120
4131303323300022300211300
5114141120241430430000
61142504040313542240
736421354365400161
oct3563736012604560
9565205451417146
10131112201030000
113885a410436693
121285650aa14980
135820a9b050028
142453c15c53768
1510257e12796a0
hex773ef02b0970

131112201030000 has 200 divisors, whose sum is σ = 423497829227088. Its totient is φ = 34942588416000.

The previous prime is 131112201029977. The next prime is 131112201030011. The reversal of 131112201030000 is 30102211131.

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 2×1311122010300002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 49499272 + ... + 52080728.

Almost surely, 2131112201030000 is an apocalyptic number.

131112201030000 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 131112201030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211748914613544).

131112201030000 is an abundant number, since it is smaller than the sum of its proper divisors (292385628197088).

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

131112201030000 is a wasteful number, since it uses less digits than its factorization.

131112201030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583181 (or 2583160 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131112201030000 its reverse (30102211131), we get a palindrome (131142303241131).

The spelling of 131112201030000 in words is "one hundred thirty-one trillion, one hundred twelve billion, two hundred one million, thirty thousand".