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1134001200020 = 2251323338948121
BaseRepresentation
bin10000100000000111101…
…111010001101110010100
311000102001111022200200012
4100200013233101232110
5122034413301400040
62224541501135352
7144633415105403
oct20400757215624
94012044280605
101134001200020
113a7a221288a7
1216393a85a558
1382c220c2040
143cc5909963a
151e7709da865
hex10807bd1b94

1134001200020 has 96 divisors (see below), whose sum is σ = 2582268867360. Its totient is φ = 415830712320.

The previous prime is 1134001200019. The next prime is 1134001200061. The reversal of 1134001200020 is 200021004311.

It can be written as a sum of positive squares in 16 ways, for example, as 630239103376 + 503762096644 = 793876^2 + 709762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134001199968 and 1134001200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23541560 + ... + 23589680.

It is an arithmetic number, because the mean of its divisors is an integer number (26898634035).

Almost surely, 21134001200020 is an apocalyptic number.

1134001200020 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 1134001200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291134433680).

1134001200020 is an abundant number, since it is smaller than the sum of its proper divisors (1448267667340).

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

1134001200020 is a wasteful number, since it uses less digits than its factorization.

1134001200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48765 (or 48763 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1134001200020 its reverse (200021004311), we get a palindrome (1334022204331).

The spelling of 1134001200020 in words is "one trillion, one hundred thirty-four billion, one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 389 466 778 932 1165 1556 1945 2330 3029 3890 4660 5057 6058 7780 10114 12116 15145 20228 25285 30290 48121 50570 60580 90637 96242 101140 181274 192484 240605 362548 453185 481210 625573 906370 962420 1178281 1251146 1812740 2356562 2502292 3127865 4713124 5891405 6255730 11212193 11782810 12511460 18719069 22424386 23565620 37438138 44848772 56060965 74876276 93595345 112121930 145758509 187190690 224243860 243347897 291517018 374381380 486695794 583034036 728792545 973391588 1216739485 1457585090 2433478970 2915170180 4361543077 4866957940 8723086154 17446172308 21807715385 43615430770 56700060001 87230861540 113400120002 226800240004 283500300005 567000600010 1134001200020