Search a number
-
+
10101240000 = 26335447199
BaseRepresentation
bin10010110100001010…
…01011000011000000
3222001222021011022000
421122011023003000
5131141404140000
64350200344000
7505214060205
oct113205130300
928058234260
1010101240000
114313983135
121b5aa75000
13c4c9764b7
146bb797cac
153e1c0a000
hex25a14b0c0

10101240000 has 560 divisors, whose sum is σ = 38087808000. Its totient is φ = 2623104000.

The previous prime is 10101239959. The next prime is 10101240011. The reversal of 10101240000 is 4210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50759901 + ... + 50760099.

Almost surely, 210101240000 is an apocalyptic number.

10101240000 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 10101240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043904000).

10101240000 is an abundant number, since it is smaller than the sum of its proper divisors (27986568000).

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

10101240000 is an equidigital number, since it uses as much as digits as its factorization.

10101240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10101240000 its reverse (4210101), we get a palindrome (10105450101).

The spelling of 10101240000 in words is "ten billion, one hundred one million, two hundred forty thousand".