Search a number
-
+
100200020222120 = 23573131511371797
BaseRepresentation
bin10110110010000110100010…
…100111001010000010101000
3111010210000202200122121022112
4112302012202213022002220
5101113134120134101440
6553035130454141452
730051132624032000
oct2662064247120250
9433700680577275
10100200020222120
1129a2165422a575
12b2a3528051888
1343baa8a6c5670
141aa59c7879000
15b8b6748da965
hex5b21a29ca0a8

100200020222120 has 256 divisors, whose sum is σ = 283327922304000. Its totient is φ = 31690582318080.

The previous prime is 100200020222077. The next prime is 100200020222143. The reversal of 100200020222120 is 21222020002001.

100200020222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100200020222095 and 100200020222104.

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 63 ways as a sum of consecutive naturals, for example, 269316062 + ... + 269687858.

It is an arithmetic number, because the mean of its divisors is an integer number (1106749696500).

Almost surely, 2100200020222120 is an apocalyptic number.

100200020222120 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 100200020222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141663961152000).

100200020222120 is an abundant number, since it is smaller than the sum of its proper divisors (183127902081880).

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

100200020222120 is a wasteful number, since it uses less digits than its factorization.

100200020222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373353 (or 373335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100200020222120 its reverse (21222020002001), we get a palindrome (121422040224121).

The spelling of 100200020222120 in words is "one hundred trillion, two hundred billion, twenty million, two hundred twenty-two thousand, one hundred twenty".