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10041033431 = 111327968371
BaseRepresentation
bin10010101100111111…
…00000001011010111
3221220202222100102002
421112133200023113
5131031001032211
64340210105515
7503553242642
oct112637401327
927822870362
1010041033431
1142929a1040
121b4287b29b
13c40356500
146b37a4a59
153db7b603b
hex2567e02d7

10041033431 has 24 divisors (see below), whose sum is σ = 12011592960. Its totient is φ = 8319261600.

The previous prime is 10041033403. The next prime is 10041033451. The reversal of 10041033431 is 13433014001.

It is a de Polignac number, because none of the positive numbers 2k-10041033431 is a prime.

It is a super-2 number, since 2×100410334312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041033451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112676 + ... + 181046.

It is an arithmetic number, because the mean of its divisors is an integer number (500483040).

Almost surely, 210041033431 is an apocalyptic number.

10041033431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10041033431 is a deficient number, since it is larger than the sum of its proper divisors (1970559529).

10041033431 is a wasteful number, since it uses less digits than its factorization.

10041033431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68487 (or 68474 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10041033431 its reverse (13433014001), we get a palindrome (23474047432).

The spelling of 10041033431 in words is "ten billion, forty-one million, thirty-three thousand, four hundred thirty-one".

Divisors: 1 11 13 79 143 169 869 1027 1859 11297 13351 68371 146861 752081 888823 5401309 9777053 11554699 59414399 70217017 127101689 772387187 912821221 10041033431