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1010111110112 = 251317314035559
BaseRepresentation
bin11101011001011110101…
…00000101101111100000
310120120021101021001000202
432230233110011233200
5113022201421010422
62052012202404332
7132656331525116
oct16545724055740
93516241231022
101010111110112
1135a42742a645
121439242006a8
1374339cb9730
1436c6524dab6
151b41e270b92
hexeb2f505be0

1010111110112 has 48 divisors (see below), whose sum is σ = 2154009322080. Its totient is φ = 463510267392.

The previous prime is 1010111110111. The next prime is 1010111110117. The reversal of 1010111110112 is 2110111110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1010111110093 and 1010111110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111110111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6945812 + ... + 7089747.

It is an arithmetic number, because the mean of its divisors is an integer number (44875194210).

Almost surely, 21010111110112 is an apocalyptic number.

It is an amenable number.

1010111110112 is an abundant number, since it is smaller than the sum of its proper divisors (1143898211968).

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

1010111110112 is a wasteful number, since it uses less digits than its factorization.

1010111110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14035755 (or 14035747 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Subtracting from 1010111110112 its sum of digits (11), we obtain a palindrome (1010111110101).

Adding to 1010111110112 its reverse (2110111110101), we get a palindrome (3120222220213).

The spelling of 1010111110112 in words is "one trillion, ten billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 692 1384 2249 2768 4498 5536 8996 17992 35984 71968 14035559 28071118 56142236 112284472 182462267 224568944 364924534 449137888 729849068 1459698136 2428151707 2919396272 4856303414 5838792544 9712606828 19425213656 31565972191 38850427312 63131944382 77700854624 126263888764 252527777528 505055555056 1010111110112