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11233211312 = 24171947103449
BaseRepresentation
bin10100111011000110…
…10011001110110000
31001222212021021000102
422131203103032300
5141001200230222
65054354411532
7545240502131
oct123543231660
931885237012
1011233211312
114844944a14
122215b90ba8
1310a033c4cb
14787c59c88
1545b2a8d92
hex29d8d33b0

11233211312 has 160 divisors (see below), whose sum is σ = 25069824000. Its totient is φ = 4843044864.

The previous prime is 11233211309. The next prime is 11233211347. The reversal of 11233211312 is 21311233211.

It is a happy number.

11233211312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112332113122 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 25018064 + ... + 25018512.

It is an arithmetic number, because the mean of its divisors is an integer number (156686400).

Almost surely, 211233211312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534912000).

11233211312 is an abundant number, since it is smaller than the sum of its proper divisors (13836612688).

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

11233211312 is a wasteful number, since it uses less digits than its factorization.

11233211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 11233211312 its reverse (21311233211), we get a palindrome (32544444523).

The spelling of 11233211312 in words is "eleven billion, two hundred thirty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 19 34 38 47 68 76 94 103 136 152 188 206 272 304 323 376 412 449 646 752 799 824 893 898 1292 1598 1648 1751 1786 1796 1957 2584 3196 3502 3572 3592 3914 4841 5168 6392 7004 7144 7184 7633 7828 8531 9682 12784 14008 14288 15181 15266 15656 17062 19364 21103 28016 30362 30532 31312 33269 34124 38728 42206 46247 60724 61064 66538 68248 77456 82297 84412 91979 92494 121448 122128 133076 136496 145027 164594 168824 183958 184988 242896 266152 290054 329188 337648 358751 367916 369976 400957 532304 580108 658376 717502 735832 739952 786199 801914 878693 1160216 1316752 1435004 1471664 1563643 1572398 1603828 1757386 2173609 2320432 2870008 3127286 3144796 3207656 3514772 4347218 5740016 6254572 6289592 6415312 6816269 7029544 8694436 12509144 12579184 13632538 14059088 14937781 17388872 25018288 27265076 29875562 34777744 36951353 41298571 54530152 59751124 73902706 82597142 109060304 119502248 147805412 165194284 239004496 295610824 330388568 591221648 660777136 702075707 1404151414 2808302828 5616605656 11233211312