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11133033312 = 253277499839
BaseRepresentation
bin10100101111001010…
…01001101101100000
31001201212202200122010
422113211021231200
5140300024031222
65040415312520
7542613136032
oct122745115540
931655680563
1011133033312
1147a3341785
1221a851b740
13108566599b
1477881dc52
154525bb80c
hex297949b60

11133033312 has 96 divisors (see below), whose sum is σ = 29423520000. Its totient is φ = 3685805568.

The previous prime is 11133033281. The next prime is 11133033313. The reversal of 11133033312 is 21333033111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×111330333122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133033313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13268989 + ... + 13269827.

It is an arithmetic number, because the mean of its divisors is an integer number (306495000).

Almost surely, 211133033312 is an apocalyptic number.

11133033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11133033312 is an abundant number, since it is smaller than the sum of its proper divisors (18290486688).

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

11133033312 is a wasteful number, since it uses less digits than its factorization.

11133033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11133033312 its reverse (21333033111), we get a palindrome (32466066423).

The spelling of 11133033312 in words is "eleven billion, one hundred thirty-three million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 499 554 831 839 998 1108 1497 1662 1678 1996 2216 2517 2994 3324 3356 3992 4432 5034 5988 6648 6712 7984 8864 10068 11976 13296 13424 15968 20136 23952 26592 26848 40272 47904 80544 138223 232403 276446 414669 418661 464806 552892 697209 829338 837322 929612 1105784 1255983 1394418 1658676 1674644 1859224 2211568 2511966 2788836 3317352 3349288 3718448 4423136 5023932 5577672 6634704 6698576 7436896 10047864 11155344 13269408 13397152 20095728 22310688 40191456 115969097 231938194 347907291 463876388 695814582 927752776 1391629164 1855505552 2783258328 3711011104 5566516656 11133033312