Search a number
-
+
10130212000 = 255323149739
BaseRepresentation
bin10010110111100111…
…01100010010100000
3222010222210002102001
421123303230102200
5131221313241000
64353113333344
7506015244526
oct113363542240
928128702361
1010130212000
114329271237
121b68707254
13c5597b5ac
146c157a316
153e452e46a
hex25bcec4a0

10130212000 has 192 divisors, whose sum is σ = 26181792000. Its totient is φ = 3844684800.

The previous prime is 10130211983. The next prime is 10130212009. The reversal of 10130212000 is 21203101.

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 (10130212009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13707631 + ... + 13708369.

It is an arithmetic number, because the mean of its divisors is an integer number (136363500).

Almost surely, 210130212000 is an apocalyptic number.

10130212000 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 10130212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090896000).

10130212000 is an abundant number, since it is smaller than the sum of its proper divisors (16051580000).

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

10130212000 is a wasteful number, since it uses less digits than its factorization.

10130212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10130212000 its reverse (21203101), we get a palindrome (10151415101).

The spelling of 10130212000 in words is "ten billion, one hundred thirty million, two hundred twelve thousand".