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1002412012 = 22731375333
BaseRepresentation
bin111011101111111…
…001011111101100
32120212012210202211
4323233321133230
54023104141022
6243245100204
733561235000
oct7357713754
92525183684
101002412012
11474920a88
1223b857664
1312c8a3004
14971b8700
155d00ae77
hex3bbf97ec

1002412012 has 48 divisors (see below), whose sum is σ = 2061057600. Its totient is φ = 426389376.

The previous prime is 1002412007. The next prime is 1002412031. The reversal of 1002412012 is 2102142001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002411983 and 1002412001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185298 + ... + 190630.

It is an arithmetic number, because the mean of its divisors is an integer number (42938700).

Almost surely, 21002412012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030528800).

1002412012 is an abundant number, since it is smaller than the sum of its proper divisors (1058645588).

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

1002412012 is a wasteful number, since it uses less digits than its factorization.

1002412012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1002412012 is about 31660.8908908135. The cubic root of 1002412012 is about 1000.8033584424.

Adding to 1002412012 its reverse (2102142001), we get a palindrome (3104554013).

The spelling of 1002412012 in words is "one billion, two million, four hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 343 548 686 959 1372 1918 3836 5333 6713 10666 13426 21332 26852 37331 46991 74662 93982 149324 187964 261317 522634 730621 1045268 1461242 1829219 2922484 3658438 5114347 7316876 10228694 20457388 35800429 71600858 143201716 250603003 501206006 1002412012