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20002001112 = 2333595233001
BaseRepresentation
bin10010101000001101…
…100101000011011000
31220121222021221021000
4102220031211003120
5311431003013422
613104440145000
71305445130022
oct225015450330
956558257230
1020002001112
118534676535
123a62768160
131b69c28722
14d7a687012
157c1013cac
hex4a83650d8

20002001112 has 128 divisors (see below), whose sum is σ = 56629728000. Its totient is φ = 6539616000.

The previous prime is 20002001093. The next prime is 20002001113. The reversal of 20002001112 is 21110020002.

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 = 20002001094 and 20002001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002001113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6663612 + ... + 6666612.

It is an arithmetic number, because the mean of its divisors is an integer number (442419750).

Almost surely, 220002001112 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 20002001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28314864000).

20002001112 is an abundant number, since it is smaller than the sum of its proper divisors (36627726888).

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

20002001112 is a wasteful number, since it uses less digits than its factorization.

20002001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3588 counting only the distinct ones).

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

Adding to 20002001112 its reverse (21110020002), we get a palindrome (41112021114).

The spelling of 20002001112 in words is "twenty billion, two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 523 531 708 1046 1062 1416 1569 1593 2092 2124 3001 3138 3186 4184 4248 4707 6002 6276 6372 9003 9414 12004 12552 12744 14121 18006 18828 24008 27009 28242 30857 36012 37656 54018 56484 61714 72024 81027 92571 108036 112968 123428 162054 177059 185142 216072 246856 277713 324108 354118 370284 531177 555426 648216 708236 740568 833139 1062354 1110852 1416472 1569523 1593531 1666278 2124708 2221704 3139046 3187062 3332556 4249416 4708569 4780593 6278092 6374124 6665112 9417138 9561186 12556184 12748248 14125707 18834276 19122372 28251414 37668552 38244744 42377121 56502828 84754242 92601857 113005656 169508484 185203714 277805571 339016968 370407428 555611142 740814856 833416713 1111222284 1666833426 2222444568 2500250139 3333666852 5000500278 6667333704 10001000556 20002001112