Search a number
-
+
122444000010 = 23251360488889
BaseRepresentation
bin111001000001000111…
…0110010101100001010
3102201001022222200020100
41302002032302230022
54001231131000020
6132125555510230
711563163553603
oct1620216625412
9381038880210
10122444000010
1147a2349a542
121b8922b8376
13b71463a417
145cd7b7adaa
1532b981da90
hex1c823b2b0a

122444000010 has 24 divisors (see below), whose sum is σ = 318354400260. Its totient is φ = 32651733312.

The previous prime is 122443999999. The next prime is 122444000017. The reversal of 122444000010 is 10000444221.

122444000010 is a `hidden beast` number, since 1 + 224 + 440 + 0 + 0 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115260929001 + 7183071009 = 339501^2 + 84753^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122444000017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680244355 + ... + 680244534.

Almost surely, 2122444000010 is an apocalyptic number.

122444000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122444000010 is an abundant number, since it is smaller than the sum of its proper divisors (195910400250).

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

122444000010 is a wasteful number, since it uses less digits than its factorization.

122444000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360488902 (or 1360488899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122444000010 its reverse (10000444221), we get a palindrome (132444444231).

The spelling of 122444000010 in words is "one hundred twenty-two billion, four hundred forty-four million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1360488889 2720977778 4081466667 6802444445 8162933334 12244400001 13604888890 20407333335 24488800002 40814666670 61222000005 122444000010