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10131041110320 = 24325135417199811
BaseRepresentation
bin1001001101101101000100…
…0110110100100100110000
31022212111222200012101022200
42103123101012310210300
52311441333011012240
633314045214503200
72063641433403564
oct223332106644460
938774880171280
1010131041110320
1132566066557a9
121177569204b00
13586478932260
142704b89a76a4
151287e93a8930
hex936d11b4930

10131041110320 has 240 divisors, whose sum is σ = 36647546094432. Its totient is φ = 2493321891840.

The previous prime is 10131041110313. The next prime is 10131041110321. The reversal of 10131041110320 is 2301114013101.

It is a happy number.

10131041110320 is a `hidden beast` number, since 1 + 0 + 131 + 0 + 411 + 103 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131041110293 and 10131041110302.

It is not an unprimeable number, because it can be changed into a prime (10131041110321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50603215 + ... + 50803025.

Almost surely, 210131041110320 is an apocalyptic number.

10131041110320 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 10131041110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18323773047216).

10131041110320 is an abundant number, since it is smaller than the sum of its proper divisors (26516504984112).

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

10131041110320 is a wasteful number, since it uses less digits than its factorization.

10131041110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205260 (or 205251 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131041110320 its reverse (2301114013101), we get a palindrome (12432155123421).

The spelling of 10131041110320 in words is "ten trillion, one hundred thirty-one billion, forty-one million, one hundred ten thousand, three hundred twenty".