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10210213332 = 22321125783367
BaseRepresentation
bin10011000001001001…
…10111110111010100
3222100120022120121100
421200210313313110
5131402303311312
64405052150100
7511006244544
oct114044676724
928316276540
1010210213332
11436a443440
121b8b468330
13c6940c467
146cc043324
153eb5835dc
hex260937dd4

10210213332 has 36 divisors (see below), whose sum is σ = 28155437856. Its totient is φ = 3094003920.

The previous prime is 10210213327. The next prime is 10210213339. The reversal of 10210213332 is 23331201201.

10210213332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210213339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12891288 + ... + 12892079.

It is an arithmetic number, because the mean of its divisors is an integer number (782095496).

Almost surely, 210210213332 is an apocalyptic number.

10210213332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10210213332 is an abundant number, since it is smaller than the sum of its proper divisors (17945224524).

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

10210213332 is a wasteful number, since it uses less digits than its factorization.

10210213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783388 (or 25783383 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10210213332 its reverse (23331201201), we get a palindrome (33541414533).

The spelling of 10210213332 in words is "ten billion, two hundred ten million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25783367 51566734 77350101 103133468 154700202 232050303 283617037 309400404 464100606 567234074 850851111 928201212 1134468148 1701702222 2552553333 3403404444 5105106666 10210213332