Search a number
-
+
10140240210 = 235582158067
BaseRepresentation
bin10010111000110011…
…11100100101010010
3222011200122120112020
421130121330211102
5131231400141320
64354112312310
7506166422352
oct113431744522
928150576466
1010140240210
1143339a0611
121b6bb42696
13c57a7cc49
146c2a2ab62
153e5360940
hex25c67c952

10140240210 has 32 divisors (see below), whose sum is σ = 24341176512. Its totient is φ = 2703552960.

The previous prime is 10140240199. The next prime is 10140240217. The reversal of 10140240210 is 1204204101.

10140240210 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 self number, because there is not a number n which added to its sum of digits gives 10140240210.

It is not an unprimeable number, because it can be changed into a prime (10140240217) 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, 145597 + ... + 203663.

It is an arithmetic number, because the mean of its divisors is an integer number (760661766).

Almost surely, 210140240210 is an apocalyptic number.

10140240210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10140240210 is an abundant number, since it is smaller than the sum of its proper divisors (14200936302).

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

10140240210 is a wasteful number, since it uses less digits than its factorization.

10140240210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63898.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10140240210 its reverse (1204204101), we get a palindrome (11344444311).

The spelling of 10140240210 in words is "ten billion, one hundred forty million, two hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 5821 11642 17463 29105 34926 58067 58210 87315 116134 174201 174630 290335 348402 580670 871005 1742010 338008007 676016014 1014024021 1690040035 2028048042 3380080070 5070120105 10140240210