Search a number
-
+
10122021144 = 233547139797
BaseRepresentation
bin10010110110101000…
…11100100100011000
3222010102100221200000
421123110130210120
5131212214134034
64352222013000
7505555521504
oct113324344430
928112327600
1010122021144
114324687334
121b65a17160
13c54071331
146c0447304
153e3962599
hex25b51c918

10122021144 has 192 divisors, whose sum is σ = 29279577600. Its totient is φ = 3274349184.

The previous prime is 10122021139. The next prime is 10122021157. The reversal of 10122021144 is 44112022101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12699754 + ... + 12700550.

It is an arithmetic number, because the mean of its divisors is an integer number (152497800).

Almost surely, 210122021144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639788800).

10122021144 is an abundant number, since it is smaller than the sum of its proper divisors (19157556456).

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

10122021144 is a wasteful number, since it uses less digits than its factorization.

10122021144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122021144 its reverse (44112022101), we get a palindrome (54234043245).

The spelling of 10122021144 in words is "ten billion, one hundred twenty-two million, twenty-one thousand, one hundred forty-four".