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1012000002 = 2313191016761
BaseRepresentation
bin111100010100011…
…110010100000010
32121112020221000120
4330110132110002
54033033000002
6244230401110
734035600216
oct7424362402
92545227016
101012000002
1147a27a642
12242b00196
1313187c190
1498592946
155dca1cbc
hex3c51e502

1012000002 has 64 divisors (see below), whose sum is σ = 2317472640. Its totient is φ = 292032000.

The previous prime is 1011999971. The next prime is 1012000009. The reversal of 1012000002 is 2000002101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1012000009) 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, 146302 + ... + 153062.

It is an arithmetic number, because the mean of its divisors is an integer number (36210510).

Almost surely, 21012000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158736320).

1012000002 is an abundant number, since it is smaller than the sum of its proper divisors (1305472638).

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

1012000002 is a wasteful number, since it uses less digits than its factorization.

1012000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899.

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

The square root of 1012000002 is about 31811.9474726085. The cubic root of 1012000002 is about 1003.9841064822.

Adding to 1012000002 its reverse (2000002101), we get a palindrome (3012002103).

It can be divided in two parts, 101 and 2000002, that multiplied together give a palindrome (202000202).

The spelling of 1012000002 in words is "one billion, twelve million, two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 13 19 26 38 39 57 78 101 114 202 247 303 494 606 741 1313 1482 1919 2626 3838 3939 5757 6761 7878 11514 13522 20283 24947 40566 49894 74841 87893 128459 149682 175786 256918 263679 385377 527358 682861 770754 1365722 1669967 2048583 3339934 4097166 5009901 8877193 10019802 12974359 17754386 25948718 26631579 38923077 53263158 77846154 168666667 337333334 506000001 1012000002