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1133103114 = 2331113197723
BaseRepresentation
bin100001110001001…
…1100100000001010
32220222010121021000
41003202130200022
54310033244424
6304234155430
740036134423
oct10342344012
92828117230
101133103114
11531675160
12277582b76
131509a1220
14aa6b864a
15697243c9
hex4389c80a

1133103114 has 128 divisors (see below), whose sum is σ = 3114316800. Its totient is φ = 300231360.

The previous prime is 1133103113. The next prime is 1133103157. The reversal of 1133103114 is 4113013311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1133103113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142857 + ... + 150579.

It is an arithmetic number, because the mean of its divisors is an integer number (24330600).

Almost surely, 21133103114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133103114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557158400).

1133103114 is an abundant number, since it is smaller than the sum of its proper divisors (1981213686).

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

1133103114 is a wasteful number, since it uses less digits than its factorization.

1133103114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1133103114 is about 33661.5970209377. The cubic root of 1133103114 is about 1042.5330003528.

Adding to 1133103114 its reverse (4113013311), we get a palindrome (5246116425).

The spelling of 1133103114 in words is "one billion, one hundred thirty-three million, one hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 99 114 117 143 171 198 209 234 247 286 297 342 351 418 429 494 513 594 627 702 741 858 1026 1254 1287 1482 1881 2223 2574 2717 3762 3861 4446 5434 5643 6669 7722 7723 8151 11286 13338 15446 16302 23169 24453 46338 48906 69507 73359 84953 100399 139014 146718 146737 169906 200798 208521 254859 293474 301197 417042 440211 509718 602394 764577 880422 903591 1104389 1320633 1529154 1614107 1807182 1907581 2208778 2293731 2641266 2710773 3228214 3313167 3815162 3961899 4587462 4842321 5421546 5722743 6626334 7923798 9684642 9939501 11445486 14526963 17168229 19879002 20983391 29053926 29818503 34336458 41966782 43580889 51504687 59637006 62950173 87161778 103009374 125900346 188850519 377701038 566551557 1133103114