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10200012 = 2233722973
BaseRepresentation
bin100110111010…
…001111001100
3201012012210020
4212322033030
510102400022
61002342140
7152461434
oct46721714
921165706
1010200012
115837469
1234ba950
132161914
1414d72c4
15d6735c
hex9ba3cc

10200012 has 24 divisors (see below), whose sum is σ = 24444336. Its totient is φ = 3307968.

The previous prime is 10200011. The next prime is 10200037. The reversal of 10200012 is 21000201.

It is a happy number.

It is a super-3 number, since 3×102000123 (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10200011) 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 7 ways as a sum of consecutive naturals, for example, 11043 + ... + 11930.

It is an arithmetic number, because the mean of its divisors is an integer number (1018514).

Almost surely, 210200012 is an apocalyptic number.

10200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200012 is an abundant number, since it is smaller than the sum of its proper divisors (14244324).

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

10200012 is a wasteful number, since it uses less digits than its factorization.

10200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23017 (or 23015 counting only the distinct ones).

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

The square root of 10200012 is about 3193.7457632066. The cubic root of 10200012 is about 216.8703735722.

Adding to 10200012 its reverse (21000201), we get a palindrome (31200213).

The spelling of 10200012 in words is "ten million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 22973 45946 68919 91892 137838 275676 850001 1700002 2550003 3400004 5100006 10200012