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10011123301320 = 23325171635804461
BaseRepresentation
bin1001000110101110010101…
…1100101011101111001000
31022110001110101200111200100
42101223211130223233020
52303010240031120240
633143014020005400
72052164653011231
oct221534534535710
938401411614610
1010011123301320
11320a76a128a29
121158280b30860
1357807779461b
14268780538088
1512562b73ae30
hex91ae572bbc8

10011123301320 has 96 divisors (see below), whose sum is σ = 34450041969720. Its totient is φ = 2512595650560.

The previous prime is 10011123301307. The next prime is 10011123301363. The reversal of 10011123301320 is 2310332111001.

10011123301320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 12 + 330 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9666415755396 + 344707545924 = 3109086^2 + 587118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10011123301293 and 10011123301302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 817896111 + ... + 817908350.

Almost surely, 210011123301320 is an apocalyptic number.

10011123301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011123301320 is an abundant number, since it is smaller than the sum of its proper divisors (24438918668400).

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

10011123301320 is a wasteful number, since it uses less digits than its factorization.

10011123301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635804495 (or 1635804488 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10011123301320 its reverse (2310332111001), we get a palindrome (12321455412321).

The spelling of 10011123301320 in words is "ten trillion, eleven billion, one hundred twenty-three million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 1635804461 3271608922 4907413383 6543217844 8179022305 9814826766 13086435688 14722240149 16358044610 19629653532 24537066915 27808675837 29444480298 32716089220 39259307064 49074133830 55617351674 58888960596 65432178440 73611200745 83426027511 98148267660 111234703348 117777921192 139043379185 147222401490 166852055022 196296535320 222469406696 250278082533 278086758370 294444802980 333704110044 417130137555 500556165066 556173516740 588889605960 667408220088 834260275110 1001112330132 1112347033480 1251390412665 1668520550220 2002224660264 2502780825330 3337041100440 5005561650660 10011123301320