Search a number
-
+
10001222112 = 2537232953421
BaseRepresentation
bin10010101000001111…
…01000100111100000
3221211000001201112210
421110013220213200
5130440303101422
64332224522120
7502560661650
oct112407504740
927730051483
1010001222112
11427247a222
121b31480340
13c3502780b
146ac3a0360
153d805010c
hex2541e89e0

10001222112 has 384 divisors, whose sum is σ = 33077237760. Its totient is φ = 2583060480.

The previous prime is 10001222081. The next prime is 10001222149. The reversal of 10001222112 is 21122210001.

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, 23755662 + ... + 23756082.

It is an arithmetic number, because the mean of its divisors is an integer number (86138640).

Almost surely, 210001222112 is an apocalyptic number.

10001222112 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 10001222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538618880).

10001222112 is an abundant number, since it is smaller than the sum of its proper divisors (23076015648).

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

10001222112 is a wasteful number, since it uses less digits than its factorization.

10001222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

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

Adding to 10001222112 its reverse (21122210001), we get a palindrome (31123432113).

The spelling of 10001222112 in words is "ten billion, one million, two hundred twenty-two thousand, one hundred twelve".