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1012111012112 = 242918521117773
BaseRepresentation
bin11101011101001101000…
…01000111000100010000
310120202102202102120211012
432232212201013010100
5113040300404341422
62052542443310052
7133060024441154
oct16564641070420
93522382376735
101012111012112
1136026330a612
121441a1b1b328
137459842b2b5
1436db4ac1064
151b4d9b144e2
hexeba6847110

1012111012112 has 40 divisors (see below), whose sum is σ = 2028711326040. Its totient is φ = 488574786560.

The previous prime is 1012111012111. The next prime is 1012111012139. The reversal of 1012111012112 is 2112101112101.

It can be written as a sum of positive squares in 4 ways, for example, as 379106192656 + 633004819456 = 615716^2 + 795616^2 .

It is not an unprimeable number, because it can be changed into a prime (1012111012111) 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 7 ways as a sum of consecutive naturals, for example, 8534858 + ... + 8652630.

It is an arithmetic number, because the mean of its divisors is an integer number (50717783151).

Almost surely, 21012111012112 is an apocalyptic number.

It is an amenable number.

1012111012112 is an abundant number, since it is smaller than the sum of its proper divisors (1016600313928).

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

1012111012112 is a wasteful number, since it uses less digits than its factorization.

1012111012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136331 (or 136325 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1012111012112 its reverse (2112101112101), we get a palindrome (3124212124213).

The spelling of 1012111012112 in words is "one trillion, twelve billion, one hundred eleven million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 18521 37042 74084 117773 148168 235546 296336 471092 537109 942184 1074218 1884368 2148436 3415417 4296872 6830834 8593744 13661668 27323336 54646672 2181273733 4362547466 8725094932 17450189864 34900379728 63256938257 126513876514 253027753028 506055506056 1012111012112