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10211231310 = 2357234120771
BaseRepresentation
bin10011000001010001…
…10000011001001110
3222100122020022000020
421200220300121032
5131403033400220
64405130043010
7511021014450
oct114050603116
928318208006
1010211231310
11436aa79245
121b8b879466
13c696a7907
146cc22a2d0
153eb6d5040
hex260a3064e

10211231310 has 64 divisors (see below), whose sum is σ = 28021261824. Its totient is φ = 2332886400.

The previous prime is 10211231299. The next prime is 10211231323. The reversal of 10211231310 is 1313211201.

It is a happy number.

It is a super-2 number, since 2×102112313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211231310.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 481225 + ... + 501995.

It is an arithmetic number, because the mean of its divisors is an integer number (437832216).

Almost surely, 210211231310 is an apocalyptic number.

10211231310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211231310 is an abundant number, since it is smaller than the sum of its proper divisors (17810030514).

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

10211231310 is a wasteful number, since it uses less digits than its factorization.

10211231310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23129.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10211231310 its reverse (1313211201), we get a palindrome (11524442511).

The spelling of 10211231310 in words is "ten billion, two hundred eleven million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 2341 4682 7023 11705 14046 16387 20771 23410 32774 35115 41542 49161 62313 70230 81935 98322 103855 124626 145397 163870 207710 245805 290794 311565 436191 491610 623130 726985 872382 1453970 2180955 4361910 48624911 97249822 145874733 243124555 291749466 340374377 486249110 680748754 729373665 1021123131 1458747330 1701871885 2042246262 3403743770 5105615655 10211231310