Search a number
-
+
101220220002000 = 24353116703228799
BaseRepresentation
bin10111000000111100101011…
…010000011101111011010000
3111021101120002011112011112010
4113000330223100131323100
5101231343002310031000
6555135532132102520
730214630261054401
oct2700745320357320
9437346064464463
10101220220002000
112a285288427020
12b4291a6a64a40
134463044876b78
141add12892d9a8
15ba7e846d1d50
hex5c0f2b41ded0

101220220002000 has 320 divisors, whose sum is σ = 356055382425600. Its totient is φ = 24534467136000.

The previous prime is 101220220001981. The next prime is 101220220002043. The reversal of 101220220002000 is 200022022101.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442283601 + ... + 442512399.

It is an arithmetic number, because the mean of its divisors is an integer number (1112673070080).

Almost surely, 2101220220002000 is an apocalyptic number.

101220220002000 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 101220220002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178027691212800).

101220220002000 is an abundant number, since it is smaller than the sum of its proper divisors (254835162423600).

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

101220220002000 is a wasteful number, since it uses less digits than its factorization.

101220220002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235539 (or 235523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101220220002000 its reverse (200022022101), we get a palindrome (101420242024101).

The spelling of 101220220002000 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty million, two thousand".