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1012110111110 = 257273193114653
BaseRepresentation
bin11101011101001100111…
…01101011000110000110
310120202102200201210212202
432232212131223012012
5113040300142023420
62052542412114502
7133060013666300
oct16564635530606
93522380653782
101012110111110
1136026285468a
121441a1765a32
13745981a4167
1436db4928970
151b4d99d7575
hexeba676b186

1012110111110 has 96 divisors (see below), whose sum is σ = 2149524451872. Its totient is φ = 342055042560.

The previous prime is 1012110111109. The next prime is 1012110111137. The reversal of 1012110111110 is 111110112101.

It is a happy number.

It is a super-2 number, since 2×10121101111102 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012110111091 and 1012110111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69064544 + ... + 69079196.

It is an arithmetic number, because the mean of its divisors is an integer number (22390879707).

Almost surely, 21012110111110 is an apocalyptic number.

1012110111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012110111110 is an abundant number, since it is smaller than the sum of its proper divisors (1137414340762).

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

1012110111110 is a wasteful number, since it uses less digits than its factorization.

1012110111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16678 (or 16671 counting only the distinct ones).

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

Adding to 1012110111110 its reverse (111110112101), we get a palindrome (1123220223211).

Subtracting from 1012110111110 its reverse (111110112101), we obtain a palindrome (900999999009).

The spelling of 1012110111110 in words is "one trillion, twelve billion, one hundred ten million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 730 1022 1931 2555 3577 3862 5110 7154 9655 13517 14653 17885 19310 27034 29306 35770 67585 73265 94619 102571 135170 140963 146530 189238 205142 281926 473095 512855 704815 717997 946190 986741 1025710 1069669 1409630 1435994 1973482 2139338 3589985 4933705 5348345 6907187 7179970 7487683 9867410 10696690 13814374 14975366 28294943 34535935 37438415 52413781 56589886 69071870 74876830 104827562 141474715 198064601 262068905 282949430 396129202 524137810 990323005 1386452207 1980646010 2065530839 2772904414 4131061678 6932261035 10327654195 13864522070 14458715873 20655308390 28917431746 72293579365 101211011111 144587158730 202422022222 506055055555 1012110111110