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1133300233100 = 2252741376910477
BaseRepresentation
bin10000011111011101111…
…101010011001110001100
311000100020122022212211102
4100133131331103032030
5122031444324424400
62224344141042232
7144610144016150
oct20373575231614
94010218285742
101133300233100
113a76a2488aa2
12163783b56378
1382b3cb04809
143cbcdd4d060
151e72e1c69d5
hex107ddf5338c

1133300233100 has 144 divisors (see below), whose sum is σ = 2880174198720. Its totient is φ = 378946252800.

The previous prime is 1133300233063. The next prime is 1133300233103. The reversal of 1133300233100 is 13320033311.

It is a super-2 number, since 2×11333002331002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1133300233103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108165062 + ... + 108175538.

Almost surely, 21133300233100 is an apocalyptic number.

1133300233100 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 1133300233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440087099360).

1133300233100 is an abundant number, since it is smaller than the sum of its proper divisors (1746873965620).

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

1133300233100 is a wasteful number, since it uses less digits than its factorization.

1133300233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308 (or 14301 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1133300233100 its reverse (13320033311), we get a palindrome (1146620266411).

The spelling of 1133300233100 in words is "one trillion, one hundred thirty-three billion, three hundred million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 3769 4100 5740 7175 7538 10477 14350 15076 18845 20954 26383 28700 37690 41908 52385 52766 73339 75380 94225 104770 105532 131915 146678 154529 188450 209540 261925 263830 293356 309058 366695 376900 429557 523850 527660 618116 659575 733390 772645 859114 1047700 1081703 1319150 1466780 1545290 1718228 1833475 2147785 2163406 2638300 3006899 3090580 3666950 3863225 4295570 4326812 5408515 6013798 7333900 7726450 8591140 10738925 10817030 12027596 15034495 15452900 21477850 21634060 27042575 30068990 39487813 42955700 54085150 60137980 75172475 78975626 108170300 150344950 157951252 197439065 276414691 300689900 394878130 552829382 789756260 987195325 1105658764 1382073455 1619000333 1974390650 2764146910 3238000666 3948781300 5528293820 6476001332 6910367275 8095001665 11333002331 13820734550 16190003330 22666004662 27641469100 32380006660 40475008325 45332009324 56665011655 80950016650 113330023310 161900033300 226660046620 283325058275 566650116550 1133300233100