Search a number
-
+
10140241120 = 25563376507
BaseRepresentation
bin10010111000110011…
…11100110011100000
3222011200122121202221
421130121330303200
5131231400203440
64354112320424
7506166425122
oct113431746340
928150577687
1010140241120
1143339a1269
121b6bb43114
13c57a80499
146c2a2b212
153e5360d4a
hex25c67cce0

10140241120 has 24 divisors (see below), whose sum is σ = 23956320024. Its totient is φ = 4056096384.

The previous prime is 10140241103. The next prime is 10140241171. The reversal of 10140241120 is 2114204101.

It is a happy number.

10140241120 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 10140241094 and 10140241103.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 31688094 + ... + 31688413.

It is an arithmetic number, because the mean of its divisors is an integer number (998180001).

Almost surely, 210140241120 is an apocalyptic number.

10140241120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140241120 is an abundant number, since it is smaller than the sum of its proper divisors (13816078904).

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

10140241120 is an equidigital number, since it uses as much as digits as its factorization.

10140241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63376522 (or 63376514 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10140241120 its reverse (2114204101), we get a palindrome (12254445221).

The spelling of 10140241120 in words is "ten billion, one hundred forty million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63376507 126753014 253506028 316882535 507012056 633765070 1014024112 1267530140 2028048224 2535060280 5070120560 10140241120