Search a number
-
+
10133400410 = 257237395531
BaseRepresentation
bin10010110111111111…
…10110101101011010
3222011012210002002022
421123333312231122
5131223122303120
64353305534442
7506054324300
oct113377665532
928135702068
1010133400410
114330049791
121b697a4422
13c56526923
146c1b6a270
153e495e025
hex25bff6b5a

10133400410 has 48 divisors (see below), whose sum is σ = 21227611680. Its totient is φ = 3472751520.

The previous prime is 10133400377. The next prime is 10133400481. The reversal of 10133400410 is 1400433101.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1829345 + ... + 1834875.

It is an arithmetic number, because the mean of its divisors is an integer number (442241910).

Almost surely, 210133400410 is an apocalyptic number.

10133400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10133400410 is an abundant number, since it is smaller than the sum of its proper divisors (11094211270).

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

10133400410 is a wasteful number, since it uses less digits than its factorization.

10133400410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10133400410 its reverse (1400433101), we get a palindrome (11533833511).

The spelling of 10133400410 in words is "ten billion, one hundred thirty-three million, four hundred thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 3739 5531 7478 11062 18695 26173 27655 37390 38717 52346 55310 77434 130865 183211 193585 261730 271019 366422 387170 542038 916055 1355095 1832110 2710190 20680409 41360818 103402045 144762863 206804090 289525726 723814315 1013340041 1447628630 2026680082 5066700205 10133400410