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10201000200 = 2335217001667
BaseRepresentation
bin10011000000000011…
…01110100100001000
3222022220222111120020
421200001232210020
5131342424001300
64404122500440
7510535033236
oct114001564410
928286874506
1010201000200
114365220486
121b88364720
13c67534ac1
146cab25956
153ea8638a0
hex26006e908

10201000200 has 48 divisors (see below), whose sum is σ = 31623102480. Its totient is φ = 2720266560.

The previous prime is 10201000141. The next prime is 10201000207. The reversal of 10201000200 is 200010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10201000207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8500234 + ... + 8501433.

It is an arithmetic number, because the mean of its divisors is an integer number (658814635).

Almost surely, 210201000200 is an apocalyptic number.

10201000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201000200 is an abundant number, since it is smaller than the sum of its proper divisors (21422102280).

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

10201000200 is a wasteful number, since it uses less digits than its factorization.

10201000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17001686 (or 17001677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10201000200 its reverse (200010201), we get a palindrome (10401010401).

The spelling of 10201000200 in words is "ten billion, two hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 17001667 34003334 51005001 68006668 85008335 102010002 136013336 170016670 204020004 255025005 340033340 408040008 425041675 510050010 680066680 850083350 1020100020 1275125025 1700166700 2040200040 2550250050 3400333400 5100500100 10201000200