Search a number
-
+
10041313104 = 2432292404529
BaseRepresentation
bin10010101101000001…
…00100011101010000
3221220210111120001100
421112200210131100
5131031034004404
64340220104400
7503555516214
oct112640443520
927823446040
1010041313104
114293072179
121b42995100
13c404238b4
146b3838944
153db81dd39
hex256824750

10041313104 has 60 divisors (see below), whose sum is σ = 29070767700. Its totient is φ = 3231685632.

The previous prime is 10041313099. The next prime is 10041313147. The reversal of 10041313104 is 40131314001.

It can be written as a sum of positive squares in 2 ways, for example, as 4934781504 + 5106531600 = 70248^2 + 71460^2 .

It is a super-2 number, since 2×100413131042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198089 + ... + 1206440.

It is an arithmetic number, because the mean of its divisors is an integer number (484512795).

Almost surely, 210041313104 is an apocalyptic number.

It is an amenable number.

10041313104 is an abundant number, since it is smaller than the sum of its proper divisors (19029454596).

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

10041313104 is a wasteful number, since it uses less digits than its factorization.

10041313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404572 (or 2404563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10041313104 its reverse (40131314001), we get a palindrome (50172627105).

The spelling of 10041313104 in words is "ten billion, forty-one million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 2404529 4809058 7213587 9618116 14427174 19236232 21640761 28854348 38472464 43281522 57708696 69731341 86563044 115417392 139462682 173126088 209194023 278925364 346252176 418388046 557850728 627582069 836776092 1115701456 1255164138 1673552184 2510328276 3347104368 5020656552 10041313104