Search a number
-
+
10011123322320 = 2435131318419953
BaseRepresentation
bin1001000110101110010101…
…1100110000110111010000
31022110001110101201120111010
42101223211130300313100
52303010240032303240
633143014020250520
72052164653126401
oct221534534606720
938401411646433
1010011123322320
11320a76a14278a
121158280b40a40
135780777a1053
142687805419a8
1512562b742280
hex91ae5730dd0

10011123322320 has 80 divisors (see below), whose sum is σ = 31271386842432. Its totient is φ = 2649254000640.

The previous prime is 10011123322297. The next prime is 10011123322357. The reversal of 10011123322320 is 2322332111001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100111233223202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159178537 + ... + 159241416.

Almost surely, 210011123322320 is an apocalyptic number.

10011123322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011123322320 is an abundant number, since it is smaller than the sum of its proper divisors (21260263520112).

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

10011123322320 is a wasteful number, since it uses less digits than its factorization.

10011123322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318420100 (or 318420094 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10011123322320 its reverse (2322332111001), we get a palindrome (12333455433321).

The spelling of 10011123322320 in words is "ten trillion, eleven billion, one hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 318419953 636839906 955259859 1273679812 1592099765 1910519718 2547359624 3184199530 3821039436 4776299295 5094719248 6368399060 7642078872 9552598590 12736798120 15284157744 19105197180 25473596240 38210394360 41713013843 76420788720 83426027686 125139041529 166852055372 208565069215 250278083058 333704110744 417130138430 500556166116 625695207645 667408221488 834260276860 1001112332232 1251390415290 1668520553720 2002224664464 2502780830580 3337041107440 5005561661160 10011123322320