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212203101000 = 2335311131191257
BaseRepresentation
bin1100010110100001001…
…0100101101101001000
3202021201210120110001010
43011220102211231020
511434042443213000
6241252412523520
721221406411642
oct3055022455510
9667653513033
10212203101000
1181aa4133640
12351624805a0
131701a5855b7
14a3b0a8b892
1557be962d50
hex31684a5b48

212203101000 has 512 divisors, whose sum is σ = 734432624640. Its totient is φ = 50585600000.

The previous prime is 212203100987. The next prime is 212203101007. The reversal of 212203101000 is 101302212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212203101007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 825692872 + ... + 825693128.

It is an arithmetic number, because the mean of its divisors is an integer number (1434438720).

Almost surely, 2212203101000 is an apocalyptic number.

212203101000 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 212203101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367216312320).

212203101000 is an abundant number, since it is smaller than the sum of its proper divisors (522229523640).

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

212203101000 is a wasteful number, since it uses less digits than its factorization.

212203101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212203101000 its reverse (101302212), we get a palindrome (212304403212).

The spelling of 212203101000 in words is "two hundred twelve billion, two hundred three million, one hundred one thousand".