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20210000200 = 2352132597929
BaseRepresentation
bin10010110100100111…
…000010000101001000
31221011110200101100221
4102310213002011020
5312342230001300
613141230235424
71313552111245
oct226447020510
957143611327
1020210000200
118631022305
123b00355b74
131ba1053900
14d9a14c5cc
157d43ed31a
hex4b49c2148

20210000200 has 72 divisors (see below), whose sum is σ = 50880853350. Its totient is φ = 7462141440.

The previous prime is 20210000189. The next prime is 20210000201. The reversal of 20210000200 is 200001202.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1023872004 + 19186128196 = 31998^2 + 138514^2 .

It is not an unprimeable number, because it can be changed into a prime (20210000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 265165 + ... + 332764.

Almost surely, 220210000200 is an apocalyptic number.

20210000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210000200 is an abundant number, since it is smaller than the sum of its proper divisors (30670853150).

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

20210000200 is a wasteful number, since it uses less digits than its factorization.

20210000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597971 (or 597949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20210000200 its reverse (200001202), we get a palindrome (20410001402).

The spelling of 20210000200 in words is "twenty billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 597929 1195858 2391716 2989645 4783432 5979290 7773077 11958580 14948225 15546154 23917160 29896450 31092308 38865385 59792900 62184616 77730770 101050001 119585800 155461540 194326925 202100002 310923080 388653850 404200004 505250005 777307700 808400008 1010500010 1554615400 2021000020 2526250025 4042000040 5052500050 10105000100 20210000200