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1131113844 = 223273471949
BaseRepresentation
bin100001101101011…
…0110110101110100
32220211101112111100
41003122312311310
54304031120334
6304123410100
740013211000
oct10332666564
92824345440
101131113844
11530536633
12276983930
13150455943
14aa31b700
156947ec99
hex436b6d74

1131113844 has 144 divisors (see below), whose sum is σ = 3407040000. Its totient is φ = 316137024.

The previous prime is 1131113821. The next prime is 1131113861. The reversal of 1131113844 is 4483111311.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 579382 + ... + 581330.

It is an arithmetic number, because the mean of its divisors is an integer number (23660000).

Almost surely, 21131113844 is an apocalyptic number.

1131113844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131113844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703520000).

1131113844 is an abundant number, since it is smaller than the sum of its proper divisors (2275926156).

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

1131113844 is a wasteful number, since it uses less digits than its factorization.

1131113844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2008 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1131113844 is about 33632.0359776211. The cubic root of 1131113844 is about 1041.9225544567.

The spelling of 1131113844 in words is "one billion, one hundred thirty-one million, one hundred thirteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 84 94 98 126 141 147 188 196 252 282 294 329 343 423 441 564 588 658 686 846 882 987 1029 1316 1372 1692 1764 1949 1974 2058 2303 2961 3087 3898 3948 4116 4606 5847 5922 6174 6909 7796 9212 11694 11844 12348 13643 13818 16121 17541 20727 23388 27286 27636 32242 35082 40929 41454 48363 54572 64484 70164 81858 82908 91603 95501 96726 122787 145089 163716 183206 191002 193452 245574 274809 286503 290178 366412 382004 491148 549618 573006 580356 641221 668507 824427 859509 1099236 1146012 1282442 1337014 1648854 1719018 1923663 2005521 2564884 2674028 3297708 3438036 3847326 4011042 4488547 5770989 6016563 7694652 8022084 8977094 11541978 12033126 13465641 17954188 23083956 24066252 26931282 31419829 40396923 53862564 62839658 80793846 94259487 125679316 161587692 188518974 282778461 377037948 565556922 1131113844