Search a number
-
+
10212222020000 = 255471113510101
BaseRepresentation
bin1001010010011011011111…
…0111011010100110100000
31100011021112022101212212012
42110212313313122212200
52314304112314120000
633415232515252052
72102544244633550
oct224466767324640
940137468355765
1010212222020000
113287a851097a0
12118b2445aa028
135910156061a0
142743ba503160
1512a99b391735
hex949b7dda9a0

10212222020000 has 480 divisors, whose sum is σ = 33732449460864. Its totient is φ = 2938176000000.

The previous prime is 10212222019999. The next prime is 10212222020027. The reversal of 10212222020000 is 2022221201.

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

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 79 ways as a sum of consecutive naturals, for example, 19764950 + ... + 20275050.

Almost surely, 210212222020000 is an apocalyptic number.

10212222020000 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 10212222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866224730432).

10212222020000 is an abundant number, since it is smaller than the sum of its proper divisors (23520227440864).

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

10212222020000 is a wasteful number, since it uses less digits than its factorization.

10212222020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510162 (or 510139 counting only the distinct ones).

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

Adding to 10212222020000 its reverse (2022221201), we get a palindrome (10214244241201).

It can be divided in two parts, 102122 and 22020000, that added together give a palindrome (22122122).

The spelling of 10212222020000 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, twenty thousand".