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10131105030 = 2351432123581
BaseRepresentation
bin10010110111101110…
…00110010100000110
3222011001110110102020
421123313012110012
5131222030330110
64353144424010
7506025654234
oct113367062406
928131413366
1010131105030
114329821182
121b68a78006
13c55c01c07
146c172d954
153e4658d70
hex25bdc6506

10131105030 has 32 divisors (see below), whose sum is σ = 24317381088. Its totient is φ = 2701324800.

The previous prime is 10131105011. The next prime is 10131105031. The reversal of 10131105030 is 3050113101.

10131105030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131105031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417840 + ... + 441420.

It is an arithmetic number, because the mean of its divisors is an integer number (759918159).

Almost surely, 210131105030 is an apocalyptic number.

10131105030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131105030 is an abundant number, since it is smaller than the sum of its proper divisors (14186276058).

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

10131105030 is a wasteful number, since it uses less digits than its factorization.

10131105030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37912.

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 10131105030 its reverse (3050113101), we get a palindrome (13181218131).

The spelling of 10131105030 in words is "ten billion, one hundred thirty-one million, one hundred five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 14321 23581 28642 42963 47162 70743 71605 85926 117905 141486 143210 214815 235810 353715 429630 707430 337703501 675407002 1013110503 1688517505 2026221006 3377035010 5065552515 10131105030