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200001021012 = 223213974405697
BaseRepresentation
bin1011101001000011111…
…1010110010001010100
3201010020102012120001200
42322100333112101110
511234100230133022
6231513523552500
720310132425502
oct2722077262124
9633212176050
10200001021012
11779023a9311
1232917b2b730
1315b245b8b20
1499742a9672
1553085c6bac
hex2e90fd6454

200001021012 has 72 divisors (see below), whose sum is σ = 550060206696. Its totient is φ = 60904341504.

The previous prime is 200001021007. The next prime is 200001021049. The reversal of 200001021012 is 210120100002.

200001021012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4667075856 + 195333945156 = 68316^2 + 441966^2 .

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 = 200001020985 and 200001021003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157453 + ... + 2248244.

It is an arithmetic number, because the mean of its divisors is an integer number (7639725093).

Almost surely, 2200001021012 is an apocalyptic number.

It is an amenable number.

200001021012 is an abundant number, since it is smaller than the sum of its proper divisors (350059185684).

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

200001021012 is a wasteful number, since it uses less digits than its factorization.

200001021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405817 (or 4405812 counting only the distinct ones).

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

Adding to 200001021012 its reverse (210120100002), we get a palindrome (410121121014).

The spelling of 200001021012 in words is "two hundred billion, one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 291 388 468 582 873 1164 1261 1746 2522 3492 3783 5044 7566 11349 15132 22698 45396 4405697 8811394 13217091 17622788 26434182 39651273 52868364 57274061 79302546 114548122 158605092 171822183 229096244 343644366 427352609 515466549 687288732 854705218 1030933098 1282057827 1709410436 2061866196 2564115654 3846173481 5128231308 5555583917 7692346962 11111167834 15384693924 16666751751 22222335668 33333503502 50000255253 66667007004 100000510506 200001021012