Search a number
-
+
10212020000 = 255471331181
BaseRepresentation
bin10011000001010111…
…10000111100100000
3222100200201100212222
421200223300330200
5131403234120000
64405155010212
7511030511030
oct114053607440
928320640788
1010212020000
114370467856
121b8bb99968
13c698c28b0
146cc3938c0
153eb7dda85
hex260af0f20

10212020000 has 480 divisors, whose sum is σ = 32094526464. Its totient is φ = 3110400000.

The previous prime is 10212019999. The next prime is 10212020011. The reversal of 10212020000 is 2021201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10212020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56419910 + ... + 56420090.

Almost surely, 210212020000 is an apocalyptic number.

10212020000 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 10212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047263232).

10212020000 is an abundant number, since it is smaller than the sum of its proper divisors (21882506464).

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

10212020000 is a wasteful number, since it uses less digits than its factorization.

10212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

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

Adding to 10212020000 its reverse (2021201), we get a palindrome (10214041201).

The spelling of 10212020000 in words is "ten billion, two hundred twelve million, twenty thousand".