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1133132013120 = 26351663709769
BaseRepresentation
bin10000011111010011111…
…011100101111001000000
311000022210220210102101210
4100133103323211321000
5122031123243404440
62224315331330120
7144603032122662
oct20372373457100
94008726712353
101133132013120
113a7616531918
12163737750940
1382b13cc6773
143cbb5880532
151e71e548a80
hex107d3ee5e40

1133132013120 has 112 divisors (see below), whose sum is σ = 3599862589440. Its totient is φ = 301986410496.

The previous prime is 1133132013089. The next prime is 1133132013127. The reversal of 1133132013120 is 213102313311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1133132013127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241596 + ... + 1951364.

Almost surely, 21133132013120 is an apocalyptic number.

1133132013120 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 1133132013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799931294720).

1133132013120 is an abundant number, since it is smaller than the sum of its proper divisors (2466730576320).

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

1133132013120 is a wasteful number, since it uses less digits than its factorization.

1133132013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711452 (or 711442 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1133132013120 its reverse (213102313311), we get a palindrome (1346234326431).

The spelling of 1133132013120 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1663 3326 4989 6652 8315 9978 13304 16630 19956 24945 26608 33260 39912 49890 53216 66520 79824 99780 106432 133040 159648 199560 266080 319296 399120 532160 709769 798240 1419538 1596480 2129307 2839076 3548845 4258614 5678152 7097690 8517228 10646535 11356304 14195380 17034456 21293070 22712608 28390760 34068912 42586140 45425216 56781520 68137824 85172280 113563040 136275648 170344560 227126080 340689120 681378240 1180345847 2360691694 3541037541 4721383388 5901729235 7082075082 9442766776 11803458470 14164150164 17705187705 18885533552 23606916940 28328300328 35410375410 37771067104 47213833880 56656600656 70820750820 75542134208 94427667760 113313201312 141641501640 188855335520 226626402624 283283003280 377710671040 566566006560 1133132013120