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200010002120010 = 232510920388379421
BaseRepresentation
bin101101011110100001110101…
…001000001011110101001010
3222020011202202221101101210200
4231132201311020023311022
5202203430441020320020
61545215154305353030
760062150210036325
oct5536416510136512
9866152687341720
10200010002120010
1158802846a46135
121a523341038776
13877ab2953c2a4
1437567701797bc
15181cabc21a590
hexb5e87520bd4a

200010002120010 has 48 divisors (see below), whose sum is σ = 524796886322280. Its totient is φ = 52846679456640.

The previous prime is 200010002119997. The next prime is 200010002120011. The reversal of 200010002120010 is 10021200010002.

200010002120010 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 184408442205849 + 15601559914161 = 13579707^2 + 3949881^2 .

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 = 200010002119974 and 200010002120001.

It is not an unprimeable number, because it can be changed into a prime (200010002120011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10194179901 + ... + 10194199520.

Almost surely, 2200010002120010 is an apocalyptic number.

200010002120010 is an abundant number, since it is smaller than the sum of its proper divisors (324786884202270).

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

200010002120010 is a wasteful number, since it uses less digits than its factorization.

200010002120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20388379543 (or 20388379540 counting only the distinct ones).

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

Adding to 200010002120010 its reverse (10021200010002), we get a palindrome (210031202130012).

The spelling of 200010002120010 in words is "two hundred trillion, ten billion, two million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 20388379421 40776758842 61165138263 101941897105 122330276526 183495414789 203883794210 305825691315 366990829578 611651382630 917477073945 1834954147890 2222333356889 4444666713778 6667000070667 11111666784445 13334000141334 20001000212001 22223333568890 33335000353335 40002000424002 66670000706670 100005001060005 200010002120010