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1134812133 = 337133147317
BaseRepresentation
bin100001110100011…
…1101101111100101
32221002100102121000
41003220331233211
54311002442013
6304334543513
740056513120
oct10350755745
92832312530
101134812133
11532632174
12278067b99
1315114c090
14aaa013b7
1569960973
hex43a3dbe5

1134812133 has 128 divisors (see below), whose sum is σ = 2188247040. Its totient is φ = 565159680.

The previous prime is 1134812131. The next prime is 1134812141. The reversal of 1134812133 is 3312184311.

It is not a de Polignac number, because 1134812133 - 21 = 1134812131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1134812097 and 1134812106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134812131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3579691 + ... + 3580007.

It is an arithmetic number, because the mean of its divisors is an integer number (17095680).

Almost surely, 21134812133 is an apocalyptic number.

1134812133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1134812133 is a deficient number, since it is larger than the sum of its proper divisors (1053434907).

1134812133 is a wasteful number, since it uses less digits than its factorization.

1134812133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1134812133 is about 33686.9727491207. The cubic root of 1134812133 is about 1043.0568755033.

Adding to 1134812133 its reverse (3312184311), we get a palindrome (4446996444).

The spelling of 1134812133 in words is "one billion, one hundred thirty-four million, eight hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 31 39 47 63 91 93 117 141 189 217 273 279 317 329 351 403 423 611 651 819 837 951 987 1209 1269 1457 1833 1953 2219 2457 2821 2853 2961 3627 4121 4277 4371 5499 5859 6657 8463 8559 8883 9827 10199 10881 12363 12831 13113 14899 16497 18941 19971 25389 28847 29481 30597 37089 38493 39339 44697 56823 59913 68789 76167 86541 88443 91791 104293 111267 115479 127751 132587 134091 170469 193687 206367 259623 265329 275373 312879 383253 397761 402273 461869 511407 581061 619101 778869 894257 938637 1149759 1193283 1355809 1385607 1743183 1857303 2682771 2815911 3233083 3449277 3579849 4067427 4156821 5229549 6004297 8048313 9699249 12202281 12470463 18012891 24144939 29097747 36606843 42030079 54038673 87293241 126090237 162116019 378270711 1134812133