Search a number
-
+
100001222200000 = 265511412714091
BaseRepresentation
bin10110101111001101011001…
…010100111000101011000000
3111010002000122010002201111101
4112233031121110320223000
5101101410000340400000
6552403532142424144
730030564336521452
oct2657153124705300
9433060563081441
10100001222200000
11299553099a6120
12b270aa6b92054
1343a50c8411004
141a9a1292802d2
15b863dbc42e6a
hex5af359538ac0

100001222200000 has 672 divisors, whose sum is σ = 278272971389952. Its totient is φ = 35337600000000.

The previous prime is 100001222199997. The next prime is 100001222200027. The reversal of 100001222200000 is 2222100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 100001222200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24444197955 + ... + 24444202045.

It is an arithmetic number, because the mean of its divisors is an integer number (414096683616).

Almost surely, 2100001222200000 is an apocalyptic number.

100001222200000 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 100001222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139136485694976).

100001222200000 is an abundant number, since it is smaller than the sum of its proper divisors (178271749189952).

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

100001222200000 is an equidigital number, since it uses as much as digits as its factorization.

100001222200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100001222200000 its reverse (2222100001), we get a palindrome (100003444300001).

Subtracting from 100001222200000 its reverse (2222100001), we obtain a palindrome (99999000099999).

The spelling of 100001222200000 in words is "one hundred trillion, one billion, two hundred twenty-two million, two hundred thousand".