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1121122120023 = 322341985715083
BaseRepresentation
bin10000010100001000000…
…101011111000101010111
310222011210221001122021100
4100110020011133011113
5121332024230320043
62215011505521143
7143666310533253
oct20241005370527
93864727048240
101121122120023
113a2513233434
121613456431b3
138194baa9c49
143c396809263
151e269ec1cd3
hex1050815f157

1121122120023 has 48 divisors (see below), whose sum is σ = 1695929114880. Its totient is φ = 712332753792.

The previous prime is 1121122119959. The next prime is 1121122120067. The reversal of 1121122120023 is 3200212211211.

1121122120023 is a `hidden beast` number, since 11 + 211 + 221 + 200 + 23 = 666.

It is not a de Polignac number, because 1121122120023 - 26 = 1121122119959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121122119978 and 1121122120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121122120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74322640 + ... + 74337722.

It is an arithmetic number, because the mean of its divisors is an integer number (35331856560).

Almost surely, 21121122120023 is an apocalyptic number.

1121122120023 is a deficient number, since it is larger than the sum of its proper divisors (574806994857).

1121122120023 is a wasteful number, since it uses less digits than its factorization.

1121122120023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16388 (or 16385 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1121122120023 its reverse (3200212211211), we get a palindrome (4321334331234).

The spelling of 1121122120023 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, twenty-three".

Divisors: 1 3 9 23 69 207 419 857 1257 2571 3771 7713 9637 15083 19711 28911 45249 59133 86733 135747 177399 346909 359083 1040727 1077249 3122181 3231747 6319777 8258909 12926131 18959331 24776727 38778393 56877993 74330181 116335179 145354871 297301013 436064613 891903039 1308193839 2675709117 5416048889 16248146667 48744440001 124569124447 373707373341 1121122120023