Search a number
-
+
131020442210000 = 245472487775239
BaseRepresentation
bin11101110010100110010010…
…111010101000111011010000
3122011220102122220001120120202
4131302212102322220323100
5114133114331201210000
61142353543223554332
736411625461320420
oct3562462272507320
9564812586046522
10131020442210000
1138824503a28052
1212840780bbb9a8
135815236a28675
14244d5cd51c480
1510232207cadd5
hex772992ea8ed0

131020442210000 has 200 divisors, whose sum is σ = 362549211615360. Its totient is φ = 44918891712000.

The previous prime is 131020442209963. The next prime is 131020442210039. The reversal of 131020442210000 is 12244020131.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1741352381 + ... + 1741427619.

Almost surely, 2131020442210000 is an apocalyptic number.

131020442210000 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 131020442210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181274605807680).

131020442210000 is an abundant number, since it is smaller than the sum of its proper divisors (231528769405360).

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

131020442210000 is an equidigital number, since it uses as much as digits as its factorization.

131020442210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100151 (or 100130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131020442210000 its reverse (12244020131), we get a palindrome (131032686230131).

The spelling of 131020442210000 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-two million, two hundred ten thousand".