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10000112094 = 234725734313
BaseRepresentation
bin10010101000000110…
…11001100111011110
3221210220222022220000
421110003121213132
5130440012041334
64332145035130
7502545356520
oct112403314736
927726868800
1010000112094
114271891255
121b31025aa6
13c34a294bb
146ac191a10
153d7dd1299
hex2540d99de

10000112094 has 80 divisors (see below), whose sum is σ = 25709146848. Its totient is φ = 2845974528.

The previous prime is 10000112069. The next prime is 10000112099. The reversal of 10000112094 is 49021100001.

10000112094 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10000112099) 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 39 ways as a sum of consecutive naturals, for example, 274282 + ... + 308594.

Almost surely, 210000112094 is an apocalyptic number.

10000112094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000112094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854573424).

10000112094 is an abundant number, since it is smaller than the sum of its proper divisors (15709034754).

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

10000112094 is a wasteful number, since it uses less digits than its factorization.

10000112094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34591 (or 34582 counting only the distinct ones).

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

Adding to 10000112094 its reverse (49021100001), we get a palindrome (59021212095).

The spelling of 10000112094 in words is "ten billion, one hundred twelve thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 257 378 514 567 771 1134 1542 1799 2313 3598 4626 5397 6939 10794 13878 16191 20817 32382 34313 41634 48573 68626 97146 102939 145719 205878 240191 291438 308817 480382 617634 720573 926451 1441146 1852902 2161719 2779353 4323438 5558706 6485157 8818441 12970314 17636882 19455471 26455323 38910942 52910646 61729087 79365969 123458174 158731938 185187261 238097907 370374522 476195814 555561783 714293721 1111123566 1428587442 1666685349 3333370698 5000056047 10000112094