Search a number
-
+
10123242410220 = 223517109131695059
BaseRepresentation
bin1001001101010000000001…
…0001001001000011101100
31022211202212011120100222020
42103110000101021003230
52311324400024111340
633310315305350140
72063244245503602
oct223240021110354
938752764510866
1010123242410220
113253274478a05
121175b51498350
13585805010004
1426dd78d3d872
151284de8c29d0
hex935004490ec

10123242410220 has 192 divisors, whose sum is σ = 30519028108800. Its totient is φ = 2498205265920.

The previous prime is 10123242410219. The next prime is 10123242410221. The reversal of 10123242410220 is 2201424232101.

It is an interprime number because it is at equal distance from previous prime (10123242410219) and next prime (10123242410221).

It is not an unprimeable number, because it can be changed into a prime (10123242410221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14217051 + ... + 14912109.

It is an arithmetic number, because the mean of its divisors is an integer number (158953271400).

Almost surely, 210123242410220 is an apocalyptic number.

10123242410220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123242410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15259514054400).

10123242410220 is an abundant number, since it is smaller than the sum of its proper divisors (20395785698580).

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

10123242410220 is a wasteful number, since it uses less digits than its factorization.

10123242410220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695328 (or 695326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10123242410220 its reverse (2201424232101), we get a palindrome (12324666642321).

The spelling of 10123242410220 in words is "ten trillion, one hundred twenty-three billion, two hundred forty-two million, four hundred ten thousand, two hundred twenty".