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1020210012 = 223347200987
BaseRepresentation
bin111100110011110…
…010101101011100
32122002201001001000
4330303302231130
54042133210022
6245122350300
734165433133
oct7463625534
92562631030
101020210012
11483977978
122457bb390
13133495083
14996cc91a
155e8746ac
hex3ccf2b5c

1020210012 has 48 divisors (see below), whose sum is σ = 2701278720. Its totient is φ = 332832816.

The previous prime is 1020209987. The next prime is 1020210019. The reversal of 1020210012 is 2100120201.

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 = 1020209976 and 1020210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020210019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95418 + ... + 105569.

It is an arithmetic number, because the mean of its divisors is an integer number (56276640).

Almost surely, 21020210012 is an apocalyptic number.

1020210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020210012 is an abundant number, since it is smaller than the sum of its proper divisors (1681068708).

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

1020210012 is a wasteful number, since it uses less digits than its factorization.

1020210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201047 (or 201039 counting only the distinct ones).

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

The square root of 1020210012 is about 31940.7265415175. The cubic root of 1020210012 is about 1006.6917907174.

Adding to 1020210012 its reverse (2100120201), we get a palindrome (3120330213).

The spelling of 1020210012 in words is "one billion, twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 200987 401974 602961 803948 1205922 1808883 2411844 3617766 5426649 7235532 9446389 10853298 18892778 21706596 28339167 37785556 56678334 85017501 113356668 170035002 255052503 340070004 510105006 1020210012