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212210020000 = 2554115916349
BaseRepresentation
bin1100010110100010110…
…0111110111010100000
3202021202021120222010101
43011220230332322200
511434101231120000
6241253221112144
721221522256646
oct3055054767240
9667667528111
10212210020000
1181aa8029a20
1235164858654
131701bb38994
14a3b196d196
1557c037ce6a
hex3168b3eea0

212210020000 has 240 divisors, whose sum is σ = 579217716000. Its totient is φ = 75854720000.

The previous prime is 212210019947. The next prime is 212210020031. The reversal of 212210020000 is 20012212.

212210020000 is digitally balanced in base 2, 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 (10).

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 39 ways as a sum of consecutive naturals, for example, 12971826 + ... + 12988174.

It is an arithmetic number, because the mean of its divisors is an integer number (2413407150).

Almost surely, 2212210020000 is an apocalyptic number.

212210020000 is a gapful number since it is divisible by the number (20) 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 212210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289608858000).

212210020000 is an abundant number, since it is smaller than the sum of its proper divisors (367007696000).

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

212210020000 is a wasteful number, since it uses less digits than its factorization.

212210020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16449 (or 16426 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212210020000 its reverse (20012212), we get a palindrome (212230032212).

The spelling of 212210020000 in words is "two hundred twelve billion, two hundred ten million, twenty thousand".