Search a number
-
+
12110100040 = 235302752501
BaseRepresentation
bin10110100011101000…
…10111011001001000
31011020222021211012201
423101310113121020
5144300141200130
65321401245544
7606046103053
oct132164273110
934228254181
1012110100040
115154921445
12241b7938b4
1311acc0358c
1482c4bba9a
154ad26cbca
hex2d1d17648

12110100040 has 16 divisors (see below), whose sum is σ = 27247725180. Its totient is φ = 4844040000.

The previous prime is 12110100031. The next prime is 12110100049. The reversal of 12110100040 is 4000101121.

It is an interprime number because it is at equal distance from previous prime (12110100031) and next prime (12110100049).

It can be written as a sum of positive squares in 2 ways, for example, as 11962671876 + 147428164 = 109374^2 + 12142^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12110100049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151376211 + ... + 151376290.

Almost surely, 212110100040 is an apocalyptic number.

12110100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110100040 is an abundant number, since it is smaller than the sum of its proper divisors (15137625140).

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

12110100040 is a wasteful number, since it uses less digits than its factorization.

12110100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302752512 (or 302752508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12110100040 its reverse (4000101121), we get a palindrome (16110201161).

The spelling of 12110100040 in words is "twelve billion, one hundred ten million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 302752501 605505002 1211010004 1513762505 2422020008 3027525010 6055050020 12110100040