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1111111100010 = 232537859938803
BaseRepresentation
bin10000001010110011011…
…000011110011001101010
310221012222020120010112100
4100022303120132121222
5121201023420200020
62210234250554230
7143163240343062
oct20126330363152
93835866503470
101111111100010
1139924628197a
1215b410a38976
1380a14a31872
143bac70183a2
151dd81188a90
hex102b361e66a

1111111100010 has 96 divisors (see below), whose sum is σ = 2967388444800. Its totient is φ = 288247330944.

The previous prime is 1111111099993. The next prime is 1111111100017. The reversal of 1111111100010 is 100011111111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1111111099965 and 1111111100001.

It is not an unprimeable number, because it can be changed into a prime (1111111100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28615269 + ... + 28654071.

It is an arithmetic number, because the mean of its divisors is an integer number (30910296300).

Almost surely, 21111111100010 is an apocalyptic number.

1111111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111111100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483694222400).

1111111100010 is an abundant number, since it is smaller than the sum of its proper divisors (1856277344790).

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

1111111100010 is a wasteful number, since it uses less digits than its factorization.

1111111100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47452 (or 47449 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1111111100010 its reverse (100011111111), we get a palindrome (1211122211121).

It can be divided in two parts, 1111111 and 100010, that added together give a palindrome (1211121).

The spelling of 1111111100010 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 8599 17198 25797 38803 42995 51594 77391 77606 85990 116409 128985 154782 194015 232818 257970 318163 349227 386955 388030 582045 636326 698454 773910 954489 1164090 1435711 1590815 1746135 1908978 2863467 2871422 3181630 3492270 4307133 4772445 5726934 7178555 8614266 9544890 12921399 14317335 14357110 21535665 25842798 28634670 43071330 64606995 129213990 333666997 667333994 1001000991 1668334985 2002001982 3003002973 3336669970 5005004955 6006005946 10010009910 12345678889 15015014865 24691357778 30030029730 37037036667 61728394445 74074073334 111111110001 123456788890 185185183335 222222220002 370370366670 555555550005 1111111100010