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10131104142240 = 2535315197131009
BaseRepresentation
bin1001001101101101010011…
…0111010001001110100000
31022212112011001210201212020
42103123110313101032200
52311442000130022430
633314055345501440
72063643130226244
oct223332467211640
938775131721766
1010131104142240
1132566391975a4
121177586341880
13586488a01253
142704c30d4424
151287eeba9b10
hex936d4dd13a0

10131104142240 has 192 divisors, whose sum is σ = 32949019192320. Its totient is φ = 2613955461120.

The previous prime is 10131104142223. The next prime is 10131104142241. The reversal of 10131104142240 is 4224140113101.

It is a happy number.

It is a super-2 number, since 2×101311041422402 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10131104142240.

It is not an unprimeable number, because it can be changed into a prime (10131104142241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77265856 + ... + 77396864.

It is an arithmetic number, because the mean of its divisors is an integer number (171609474960).

Almost surely, 210131104142240 is an apocalyptic number.

10131104142240 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 10131104142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474509596160).

10131104142240 is an abundant number, since it is smaller than the sum of its proper divisors (22817915050080).

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

10131104142240 is a wasteful number, since it uses less digits than its factorization.

10131104142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136255 (or 136247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10131104142240 its reverse (4224140113101), we get a palindrome (14355244255341).

The spelling of 10131104142240 in words is "ten trillion, one hundred thirty-one billion, one hundred four million, one hundred forty-two thousand, two hundred forty".