Search a number
-
+
10000022000100 = 223521125167317939
BaseRepresentation
bin1001000110000100111111…
…0000100101000111100100
31022101222210201121222021220
42101201033300211013210
52302320021113000400
633133540252340340
72051322603343446
oct221411760450744
938358721558256
1010000022000100
113205a927a0020
1211560a31746b0
13576cc888c132
1426800a018496
151251cbd3b7a0
hex9184fc251e4

10000022000100 has 288 divisors, whose sum is σ = 31738313617920. Its totient is φ = 2410867200000.

The previous prime is 10000022000057. The next prime is 10000022000117. The reversal of 10000022000100 is 100022000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557436931 + ... + 557454869.

It is an arithmetic number, because the mean of its divisors is an integer number (110202477840).

Almost surely, 210000022000100 is an apocalyptic number.

10000022000100 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 10000022000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869156808960).

10000022000100 is an abundant number, since it is smaller than the sum of its proper divisors (21738291617820).

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

10000022000100 is a wasteful number, since it uses less digits than its factorization.

10000022000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18891 (or 18884 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10000022000100 its reverse (100022000001), we get a palindrome (10100044000101).

Subtracting from 10000022000100 its reverse (100022000001), we obtain a palindrome (9900000000099).

The spelling of 10000022000100 in words is "ten trillion, twenty-two million, one hundred", and thus it is an aban number.