Search a number
-
+
1023112111232 = 2723334304993
BaseRepresentation
bin11101110001101100011…
…10111110010010000000
310121210211102221022202202
432320312032332102000
5113230313200024412
62102002231132332
7133626446312351
oct16706616762200
93553742838682
101023112111232
11364999129172
121463522140a8
137562c64bcc3
1437739b99d28
151b93081e3c2
hexee363be480

1023112111232 has 32 divisors (see below), whose sum is σ = 2046978991980. Its totient is φ = 509360521216.

The previous prime is 1023112111213. The next prime is 1023112111291. The reversal of 1023112111232 is 2321112113201.

1023112111232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 934655834176 + 88456277056 = 966776^2 + 297416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17122673 + ... + 17182320.

Almost surely, 21023112111232 is an apocalyptic number.

It is an amenable number.

1023112111232 is an abundant number, since it is smaller than the sum of its proper divisors (1023866880748).

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

1023112111232 is an equidigital number, since it uses as much as digits as its factorization.

1023112111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34305240 (or 34305228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1023112111232 its reverse (2321112113201), we get a palindrome (3344224224433).

The spelling of 1023112111232 in words is "one trillion, twenty-three billion, one hundred twelve million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1864 3728 7456 14912 29824 34304993 68609986 137219972 274439944 548879888 1097759776 2195519552 4391039104 7993063369 15986126738 31972253476 63944506952 127889013904 255778027808 511556055616 1023112111232