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1000212000 = 25353174903
BaseRepresentation
bin111011100111100…
…000011000100000
32120201002000220220
4323213200120200
54022023241000
6243130003040
733533442654
oct7347403040
92521060826
101000212000
11473659097
1223ab76480
1312c2b2828
1496ba4a64
155cc241a0
hex3b9e0620

1000212000 has 192 divisors, whose sum is σ = 3470148864. Its totient is φ = 250982400.

The previous prime is 1000211999. The next prime is 1000212007. The reversal of 1000212000 is 2120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1000212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201549 + ... + 206451.

It is an arithmetic number, because the mean of its divisors is an integer number (18073692).

Almost surely, 21000212000 is an apocalyptic number.

1000212000 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 1000212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735074432).

1000212000 is an abundant number, since it is smaller than the sum of its proper divisors (2469936864).

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

1000212000 is a wasteful number, since it uses less digits than its factorization.

1000212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000212000 is about 31626.1284383656. The cubic root of 1000212000 is about 1000.0706616735.

Adding to 1000212000 its reverse (2120001), we get a palindrome (1002332001).

The spelling of 1000212000 in words is "one billion, two hundred twelve thousand".