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11235110112 = 253247830017
BaseRepresentation
bin10100111011010101…
…00010110011100000
31001222222211201200100
422131222202303200
5141002142010422
65054503222400
7545262601032
oct123552426340
931888751610
1011235110112
114845a21576
122216747a00
1310a0855865
147881d1c52
1545b5317ac
hex29daa2ce0

11235110112 has 72 divisors (see below), whose sum is σ = 32629667616. Its totient is φ = 3665350656.

The previous prime is 11235110099. The next prime is 11235110119. The reversal of 11235110112 is 21101153211.

It is a tau number, because it is divible by the number of its divisors (72).

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 (11235110119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401473 + ... + 428544.

It is an arithmetic number, because the mean of its divisors is an integer number (453189828).

Almost surely, 211235110112 is an apocalyptic number.

11235110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11235110112 is an abundant number, since it is smaller than the sum of its proper divisors (21394557504).

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

11235110112 is a wasteful number, since it uses less digits than its factorization.

11235110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830080 (or 830069 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 11235110112 its reverse (21101153211), we get a palindrome (32336263323).

The spelling of 11235110112 in words is "eleven billion, two hundred thirty-five million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 830017 1660034 2490051 3320068 4980102 6640136 7470153 9960204 13280272 14940306 19920408 26560544 29880612 39010799 39840816 59761224 78021598 79681632 117032397 119522448 156043196 234064794 239044896 312086392 351097191 468129588 624172784 702194382 936259176 1248345568 1404388764 1872518352 2808777528 3745036704 5617555056 11235110112