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1021000212 = 2232171668301
BaseRepresentation
bin111100110110110…
…011101000010100
32122011012011222200
4330312303220110
54042334001322
6245151324500
734205234001
oct7466635024
92564164880
101021000212
11484367631
12245b20730
131336b094b
14998568a8
155e97d8ac
hex3cdb3a14

1021000212 has 36 divisors (see below), whose sum is σ = 2732678676. Its totient is φ = 320313600.

The previous prime is 1021000157. The next prime is 1021000217. The reversal of 1021000212 is 2120001201.

It can be written as a sum of positive squares in 2 ways, for example, as 577729296 + 443270916 = 24036^2 + 21054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021000194 and 1021000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833539 + ... + 834762.

It is an arithmetic number, because the mean of its divisors is an integer number (75907741).

Almost surely, 21021000212 is an apocalyptic number.

1021000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021000212 is an abundant number, since it is smaller than the sum of its proper divisors (1711678464).

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

1021000212 is a wasteful number, since it uses less digits than its factorization.

1021000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668328 (or 1668323 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021000212 is about 31953.0939347037. The cubic root of 1021000212 is about 1006.9516334789.

Adding to 1021000212 its reverse (2120001201), we get a palindrome (3141001413).

The spelling of 1021000212 in words is "one billion, twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1668301 3336602 5004903 6673204 10009806 15014709 20019612 28361117 30029418 56722234 60058836 85083351 113444468 170166702 255250053 340333404 510500106 1021000212