Search a number
-
+
10220021112 = 233719231071301
BaseRepresentation
bin10011000010010100…
…10010010101111000
3222101020202212100110
421201022102111320
5131412311133422
64410042304320
7511155513630
oct114112222570
928336685313
1010220021112
114374a32144
121b927b80a0
13c6b464692
146cd4776c0
153ec36e60c
hex261292578

10220021112 has 256 divisors, whose sum is σ = 32397926400. Its totient is φ = 2619302400.

The previous prime is 10220021107. The next prime is 10220021129. The reversal of 10220021112 is 21112002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7854862 + ... + 7856162.

It is an arithmetic number, because the mean of its divisors is an integer number (126554400).

Almost surely, 210220021112 is an apocalyptic number.

10220021112 is a gapful number since it is divisible by the number (12) 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 10220021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198963200).

10220021112 is an abundant number, since it is smaller than the sum of its proper divisors (22177905288).

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

10220021112 is a wasteful number, since it uses less digits than its factorization.

10220021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220021112 its reverse (21112002201), we get a palindrome (31332023313).

The spelling of 10220021112 in words is "ten billion, two hundred twenty million, twenty-one thousand, one hundred twelve".