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10141131432 = 2333113630553
BaseRepresentation
bin10010111000111010…
…10110001010101000
3222011202022212001110
421130131112022220
5131232112201212
64354143350320
7506210123565
oct113435261250
928152285043
1010141131432
11433444a163
121b702b23a0
13c580027b3
146c2bbd86c
153e5489a3c
hex25c7562a8

10141131432 has 32 divisors (see below), whose sum is σ = 26170663680. Its totient is φ = 3271332480.

The previous prime is 10141131419. The next prime is 10141131437. The reversal of 10141131432 is 23413114101.

It is a junction number, because it is equal to n+sod(n) for n = 10141131399 and 10141131408.

It is not an unprimeable number, because it can be changed into a prime (10141131437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6814533 + ... + 6816020.

It is an arithmetic number, because the mean of its divisors is an integer number (817833240).

Almost surely, 210141131432 is an apocalyptic number.

10141131432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10141131432 is an abundant number, since it is smaller than the sum of its proper divisors (16029532248).

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

10141131432 is a wasteful number, since it uses less digits than its factorization.

10141131432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13630593 (or 13630589 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10141131432 its reverse (23413114101), we get a palindrome (33554245533).

The spelling of 10141131432 in words is "ten billion, one hundred forty-one million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 13630553 27261106 40891659 54522212 81783318 109044424 163566636 327133272 422547143 845094286 1267641429 1690188572 2535282858 3380377144 5070565716 10141131432