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10200332233 = 7135915712101
BaseRepresentation
bin10010111111111110…
…01011011111001001
3222022212201120021201
421133333023133021
5131342241112413
64404100304201
7510526251640
oct113777133711
928285646251
1010200332233
114364904643
121b880a2061
13c6735ca60
146ca9d0357
153ea7809dd
hex25ffcb7c9

10200332233 has 32 divisors (see below), whose sum is σ = 12849419520. Its totient is φ = 7882617600.

The previous prime is 10200332209. The next prime is 10200332239. The reversal of 10200332233 is 33223300201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-10200332233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10200332233.

It is not an unprimeable number, because it can be changed into a prime (10200332239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836883 + ... + 848983.

It is an arithmetic number, because the mean of its divisors is an integer number (401544360).

Almost surely, 210200332233 is an apocalyptic number.

10200332233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10200332233 is a deficient number, since it is larger than the sum of its proper divisors (2649087287).

10200332233 is a wasteful number, since it uses less digits than its factorization.

10200332233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 10200332233 its reverse (33223300201), we get a palindrome (43423632434).

The spelling of 10200332233 in words is "ten billion, two hundred million, three hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 7 13 59 91 157 413 767 1099 2041 5369 9263 12101 14287 64841 84707 120419 157313 713959 842933 1101191 1899857 4997713 9281467 13298999 24698141 64970269 112091563 172886987 784640941 1457190319 10200332233