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1134003302160 = 243553728312241
BaseRepresentation
bin10000100000000111110…
…111010010111100010000
311000102001122021111021020
4100200013313102330100
5122034414321132120
62224542014155440
7144633442012161
oct20400767227420
94012048244236
101134003302160
113a7a23334203
1216393b4b2b80
1382c22679b01
143cc59485768
151e770ca3640
hex10807dd2f10

1134003302160 has 160 divisors (see below), whose sum is σ = 3582523168128. Its totient is φ = 296630231040.

The previous prime is 1134003302153. The next prime is 1134003302191. The reversal of 1134003302160 is 612033004311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1134003302160.

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 31 ways as a sum of consecutive naturals, for example, 92633640 + ... + 92645880.

Almost surely, 21134003302160 is an apocalyptic number.

1134003302160 is a gapful number since it is divisible by the number (10) 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 1134003302160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791261584064).

1134003302160 is an abundant number, since it is smaller than the sum of its proper divisors (2448519865968).

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

1134003302160 is a wasteful number, since it uses less digits than its factorization.

1134003302160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593 (or 19587 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1134003302160 its reverse (612033004311), we get a palindrome (1746036306471).

The spelling of 1134003302160 in words is "one trillion, one hundred thirty-four billion, three million, three hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 7283 12241 12720 14566 21849 24482 29132 36415 36723 43698 48964 58264 61205 72830 73446 87396 97928 109245 116528 122410 145660 146892 174792 183615 195856 218490 244820 291320 293784 349584 367230 385999 436980 489640 582640 587568 648773 734460 771998 873960 979280 1157997 1297546 1468920 1543996 1747920 1929995 1946319 2315994 2595092 2937840 3087992 3243865 3859990 3892638 4631988 5190184 5789985 6175984 6487730 7719980 7785276 9263976 9731595 10380368 11579970 12975460 15439960 15570552 18527952 19463190 23159940 25950920 30879920 31141104 38926380 46319880 51901840 77852760 89151203 92639760 155705520 178302406 267453609 356604812 445756015 534907218 713209624 891512030 1069814436 1337268045 1426419248 1783024060 2139628872 2674536090 3566048120 4279257744 4725013759 5349072180 7132096240 9450027518 10698144360 14175041277 18900055036 21396288720 23625068795 28350082554 37800110072 47250137590 56700165108 70875206385 75600220144 94500275180 113400330216 141750412770 189000550360 226800660432 283500825540 378001100720 567001651080 1134003302160