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11233034112 = 273131223303
BaseRepresentation
bin10100111011000101…
…00111111110000000
31001222211221020221110
422131202213332000
5141001124042422
65054350523320
7545236133406
oct123542477600
931884836843
1011233034112
114844833873
122215b06540
1310a02a9961
14787c11476
1545b27160c
hex29d8a7f80

11233034112 has 64 divisors (see below), whose sum is σ = 30065650560. Its totient is φ = 3715745280.

The previous prime is 11233034107. The next prime is 11233034123. The reversal of 11233034112 is 21143033211.

11233034112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×112330341122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61348 + ... + 161955.

It is an arithmetic number, because the mean of its divisors is an integer number (469775790).

Almost surely, 211233034112 is an apocalyptic number.

11233034112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11233034112 is an abundant number, since it is smaller than the sum of its proper divisors (18832616448).

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

11233034112 is a wasteful number, since it uses less digits than its factorization.

11233034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223451 (or 223439 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11233034112 its reverse (21143033211), we get a palindrome (32376067323).

Subtracting 11233034112 from its reverse (21143033211), we obtain a palindrome (9909999099).

The spelling of 11233034112 in words is "eleven billion, two hundred thirty-three million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 50304 223303 446606 669909 893212 1339818 1786424 2679636 3572848 5359272 7145696 10718544 14291392 21437088 28582784 29252693 42874176 58505386 85748352 87758079 117010772 175516158 234021544 351032316 468043088 702064632 936086176 1404129264 1872172352 2808258528 3744344704 5616517056 11233034112