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10211104314 = 232678466919
BaseRepresentation
bin10011000001010000…
…10001011000111010
3222100121222211210200
421200220101120322
5131403020314224
64405123223030
7511016645265
oct114050213072
928317884720
1010211104314
11436a9a1894
121b8b817a76
13c69661b78
146cc1d5cdc
153eb6ac5c9
hex260a1163a

10211104314 has 24 divisors (see below), whose sum is σ = 22454271840. Its totient is φ = 3352899528.

The previous prime is 10211104313. The next prime is 10211104339. The reversal of 10211104314 is 41340111201.

10211104314 is a `hidden beast` number, since 10 + 211 + 10 + 431 + 4 = 666.

10211104314 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102111043142 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10211104313) 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 11 ways as a sum of consecutive naturals, for example, 4232254 + ... + 4234665.

It is an arithmetic number, because the mean of its divisors is an integer number (935594660).

Almost surely, 210211104314 is an apocalyptic number.

10211104314 is an abundant number, since it is smaller than the sum of its proper divisors (12243167526).

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

10211104314 is a wasteful number, since it uses less digits than its factorization.

10211104314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466994 (or 8466991 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211104314 its reverse (41340111201), we get a palindrome (51551215515).

The spelling of 10211104314 in words is "ten billion, two hundred eleven million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 8466919 16933838 25400757 50801514 76202271 152404542 567283573 1134567146 1701850719 3403701438 5105552157 10211104314