Search a number
-
+
100220200000000 = 29582321787
BaseRepresentation
bin10110110010011001010101…
…011010111001101000000000
3111010211221212001110112110021
4112302121111122321220000
5101114001432200000000
6553052305124543224
730052445661230443
oct2662312532715000
9433757761415407
10100220200000000
1129a2a16a18a353
12b2a741a251b14
1343bc9553c7032
141aa697d99b65a
15b8be5631911a
hex5b26556b9a00

100220200000000 has 360 divisors, whose sum is σ = 261200538140256. Its totient is φ = 38343360000000.

The previous prime is 100220199999979. The next prime is 100220200000007. The reversal of 100220200000000 is 2022001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100220200000007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4599989107 + ... + 4600010893.

Almost surely, 2100220200000000 is an apocalyptic number.

100220200000000 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 100220200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130600269070128).

100220200000000 is an abundant number, since it is smaller than the sum of its proper divisors (160980338140256).

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

100220200000000 is an frugal number, since it uses more digits than its factorization.

100220200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21868 (or 21817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 100220200000000 its reverse (2022001), we get a palindrome (100220202022001).

The spelling of 100220200000000 in words is "one hundred trillion, two hundred twenty billion, two hundred million", and thus it is an aban number.