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1011111120112 = 244153148919531
BaseRepresentation
bin11101011011010101110…
…10110100110011110000
310120122212001221210212011
432231222322310303300
5113031223421320422
62052255324212304
7133023163500142
oct16555272646360
93518761853764
101011111120112
1135a89a95a995
12143b6309a094
137446922b322
1436d1bda0c92
151b47be55077
hexeb6aeb4cf0

1011111120112 has 80 divisors (see below), whose sum is σ = 2046151225440. Its totient is φ = 483569049600.

The previous prime is 1011111120109. The next prime is 1011111120133. The reversal of 1011111120112 is 2110211111101.

It is a junction number, because it is equal to n+sod(n) for n = 1011111120092 and 1011111120101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51759787 + ... + 51779317.

It is an arithmetic number, because the mean of its divisors is an integer number (25576890318).

Almost surely, 21011111120112 is an apocalyptic number.

It is an amenable number.

1011111120112 is an abundant number, since it is smaller than the sum of its proper divisors (1035040105328).

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

1011111120112 is a wasteful number, since it uses less digits than its factorization.

1011111120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21122 (or 21116 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011111120112 its reverse (2110211111101), we get a palindrome (3121322231213).

The spelling of 1011111120112 in words is "one trillion, eleven billion, one hundred eleven million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 41 53 82 106 164 212 328 424 656 848 1489 2173 2978 4346 5956 8692 11912 17384 19531 23824 34768 39062 61049 78124 78917 122098 156248 157834 244196 312496 315668 488392 631336 800771 976784 1035143 1262672 1601542 2070286 3203084 3235597 4140572 6406168 6471194 8281144 12812336 12942388 16562288 25884776 29081659 42440863 51769552 58163318 84881726 116326636 169763452 232653272 339526904 465306544 679053808 1192348019 1541327927 2384696038 3082655854 4769392076 6165311708 9538784152 12330623416 19077568304 24661246832 63194445007 126388890014 252777780028 505555560056 1011111120112