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200211000010002 = 232194435092596213
BaseRepresentation
bin101101100001011101000001…
…100010010010010100010010
3222020212222120211101011000200
4231201131001202102110102
5202220224112000310002
61545451355204000030
760112524135645522
oct5541350142222422
9866788524334020
10200211000010002
1158880010019903
121a556296990016
138793a7c50a0c7
14376239a9b9682
151822e330a5b1c
hexb61741892512

200211000010002 has 96 divisors (see below), whose sum is σ = 458551624564800. Its totient is φ = 62957850224256.

The previous prime is 200211000009883. The next prime is 200211000010093. The reversal of 200211000010002 is 200010000112002.

Adding to 200211000010002 its reverse (200010000112002), we get a palindrome (400221000122004).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 75818448 + ... + 78414660.

It is an arithmetic number, because the mean of its divisors is an integer number (4776579422550).

Almost surely, 2200211000010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200211000010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229275812282400).

200211000010002 is an abundant number, since it is smaller than the sum of its proper divisors (258340624554798).

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

200211000010002 is a wasteful number, since it uses less digits than its factorization.

200211000010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597192 (or 2597189 counting only the distinct ones).

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

The spelling of 200211000010002 in words is "two hundred trillion, two hundred eleven billion, ten thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 443 509 886 1018 1329 1527 2658 3054 3987 4581 7974 8417 9162 9671 16834 19342 25251 29013 50502 58026 75753 87039 151506 174078 225487 450974 676461 1352922 2029383 2596213 4058766 4284253 5192426 7788639 8568506 12852759 15577278 23365917 25705518 38558277 46731834 49328047 77116554 98656094 147984141 295968282 443952423 887904846 1150122359 1321472417 2300244718 2642944834 3450367077 3964417251 6900734154 7928834502 10351101231 11893251753 20702202462 21852324821 23786503506 25107975923 43704649642 50215951846 65556974463 75323927769 131113948926 150647855538 196670923389 225971783307 393341846778 451943566614 585412280731 1170824561462 1756236842193 3512473684386 5268710526579 10537421053158 11122833333889 22245666667778 33368500001667 66737000003334 100105500005001 200211000010002