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10111302126 = 23217712232087
BaseRepresentation
bin10010110101010111…
…00011100111101110
3222002200012100221100
421122223203213232
5131201443132001
64351200143530
7505365435642
oct113253434756
928080170840
1010111302126
114319625a42
121b62307ba6
13c51a8a413
146bcc56c22
153e2a46586
hex25aae39ee

10111302126 has 96 divisors (see below), whose sum is σ = 23640035328. Its totient is φ = 3111978240.

The previous prime is 10111302107. The next prime is 10111302127. The reversal of 10111302126 is 62120311101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10111302099 and 10111302108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111302127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4843855 + ... + 4845941.

It is an arithmetic number, because the mean of its divisors is an integer number (246250368).

Almost surely, 210111302126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111302126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11820017664).

10111302126 is an abundant number, since it is smaller than the sum of its proper divisors (13528733202).

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

10111302126 is a wasteful number, since it uses less digits than its factorization.

10111302126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10111302126 its reverse (62120311101), we get a palindrome (72231613227).

The spelling of 10111302126 in words is "ten billion, one hundred eleven million, three hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 223 306 426 446 639 669 1207 1278 1338 2007 2087 2414 3621 3791 4014 4174 6261 7242 7582 10863 11373 12522 15833 18783 21726 22746 31666 34119 35479 37566 47499 68238 70958 94998 106437 142497 148177 212874 269161 284994 296354 319311 444531 465401 538322 638622 807483 889062 930802 1333593 1396203 1614966 2422449 2519009 2667186 2792406 4188609 4844898 5038018 7557027 7911817 8377218 15114054 15823634 22671081 23735451 33043471 45342162 47470902 66086942 71206353 99130413 142412706 198260826 297391239 561739007 594782478 1123478014 1685217021 3370434042 5055651063 10111302126