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2002110012 = 2232725919237
BaseRepresentation
bin111011101010101…
…1100011000111100
312011112022201121200
41313111130120330
513100020010022
6530400055500
7100420440300
oct16725343074
95145281550
102002110012
11938158981
1247a604590
1325ba358a6
1414dc87d00
15bab7cbac
hex7755c63c

2002110012 has 108 divisors (see below), whose sum is σ = 5987250360. Its totient is φ = 562306752.

The previous prime is 2002110007. The next prime is 2002110029. The reversal of 2002110012 is 2100112002.

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 = 2002109976 and 2002110003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94458 + ... + 113694.

Almost surely, 22002110012 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 2002110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993625180).

2002110012 is an abundant number, since it is smaller than the sum of its proper divisors (3985140348).

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

2002110012 is a wasteful number, since it uses less digits than its factorization.

2002110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19320 (or 19308 counting only the distinct ones).

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

The square root of 2002110012 is about 44744.9439825328. The cubic root of 2002110012 is about 1260.3639689263.

Adding to 2002110012 its reverse (2100112002), we get a palindrome (4102222014).

The spelling of 2002110012 in words is "two billion, two million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1652 1764 2124 2478 2891 3717 4956 5782 7434 8673 11564 14868 17346 19237 26019 34692 38474 52038 57711 76948 104076 115422 134659 173133 230844 269318 346266 403977 538636 692532 807954 942613 1134983 1211931 1615908 1885226 2269966 2423862 2827839 3404949 3770452 4539932 4847724 5655678 6809898 7944881 8483517 10214847 11311356 13619796 15889762 16967034 20429694 23834643 31779524 33934068 40859388 47669286 55614167 71503929 95338572 111228334 143007858 166842501 222456668 286015716 333685002 500527503 667370004 1001055006 2002110012