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11341130100 = 22352179112441
BaseRepresentation
bin10101000111111101…
…11110100101110100
31002021101100002202120
422203332332211310
5141211312130400
65113211435540
7551021005146
oct124376764564
932241302676
1011341130100
11489a8549a3
122246155bb0
1310b97c6491
1479830cc96
154659c4ca0
hex2a3fbe974

11341130100 has 144 divisors (see below), whose sum is σ = 34796272896. Its totient is φ = 2842112000.

The previous prime is 11341130063. The next prime is 11341130107. The reversal of 11341130100 is 103114311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11341130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341130107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4644880 + ... + 4647320.

It is an arithmetic number, because the mean of its divisors is an integer number (241640784).

Almost surely, 211341130100 is an apocalyptic number.

11341130100 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 11341130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398136448).

11341130100 is an abundant number, since it is smaller than the sum of its proper divisors (23455142796).

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

11341130100 is a wasteful number, since it uses less digits than its factorization.

11341130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11341130100 its reverse (103114311), we get a palindrome (11444244411).

The spelling of 11341130100 in words is "eleven billion, three hundred forty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 911 1020 1275 1700 1822 2441 2550 2733 3644 4555 4882 5100 5466 7323 9110 9764 10932 12205 13665 14646 15487 18220 22775 24410 27330 29292 30974 36615 41497 45550 46461 48820 54660 61025 61948 68325 73230 77435 82994 91100 92922 122050 124491 136650 146460 154870 165988 183075 185844 207485 232305 244100 248982 273300 309740 366150 387175 414970 464610 497964 622455 732300 774350 829940 929220 1037425 1161525 1244910 1548700 2074850 2223751 2323050 2489820 3112275 4149700 4447502 4646100 6224550 6671253 8895004 11118755 12449100 13342506 22237510 26685012 33356265 37803767 44475020 55593775 66712530 75607534 111187550 113411301 133425060 151215068 166781325 189018835 222375100 226822602 333562650 378037670 453645204 567056505 667125300 756075340 945094175 1134113010 1890188350 2268226020 2835282525 3780376700 5670565050 11341130100