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11133210296 = 23132311092437
BaseRepresentation
bin10100101111001011…
…10100111010111000
31001201220002200102002
422113211310322320
5140300100212141
65040423200132
7542614504025
oct122745647270
931656080362
1011133210296
1147a345274a
1221a85a6048
1310856c8400
1477886854c
15452603e9b
hex297974eb8

11133210296 has 96 divisors (see below), whose sum is σ = 23556931200. Its totient is φ = 4925007360.

The previous prime is 11133210293. The next prime is 11133210301. The reversal of 11133210296 is 69201233111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133210293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4567190 + ... + 4569626.

It is an arithmetic number, because the mean of its divisors is an integer number (245384700).

Almost surely, 211133210296 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 11133210296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778465600).

11133210296 is an abundant number, since it is smaller than the sum of its proper divisors (12423720904).

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

11133210296 is a wasteful number, since it uses less digits than its factorization.

11133210296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 11133210296 in words is "eleven billion, one hundred thirty-three million, two hundred ten thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 109 124 169 218 248 338 403 436 676 806 872 1352 1417 1612 2437 2834 3224 3379 4874 5239 5668 6758 9748 10478 11336 13516 18421 19496 20956 27032 31681 36842 41912 43927 63362 73684 75547 87854 126724 147368 151094 175708 253448 265633 302188 351416 411853 531266 571051 604376 823706 982111 1062532 1142102 1647412 1964222 2125064 2284204 3294824 3453229 3928444 4568408 6906458 7856888 8234623 12767443 13812916 16469246 25534886 27625832 32938492 44891977 51069772 65876984 89783954 102139544 107050099 179567908 214100198 359135816 428200396 856400792 1391651287 2783302574 5566605148 11133210296