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1010011111110 = 233523162642691
BaseRepresentation
bin11101011001010010101…
…10100111111011000110
310120120000102002120012000
432230221112213323012
5113022000321023420
62051554231210130
7132654005535621
oct16545126477306
93516012076160
101010011111110
1135a385a39941
121438b6816946
1374322376521
1436c55c5cdb8
151b4155bb690
hexeb295a7ec6

1010011111110 has 64 divisors (see below), whose sum is σ = 2810465717760. Its totient is φ = 257626020960.

The previous prime is 1010011111103. The next prime is 1010011111141. The reversal of 1010011111110 is 111111100101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010011111092 and 1010011111101.

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 31 ways as a sum of consecutive naturals, for example, 81315136 + ... + 81327555.

It is an arithmetic number, because the mean of its divisors is an integer number (43913526840).

Almost surely, 21010011111110 is an apocalyptic number.

1010011111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010011111110 is an abundant number, since it is smaller than the sum of its proper divisors (1800454606650).

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

1010011111110 is a wasteful number, since it uses less digits than its factorization.

1010011111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162642730 (or 162642724 counting only the distinct ones).

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

Adding to 1010011111110 its reverse (111111100101), we get a palindrome (1121122211211).

The spelling of 1010011111110 in words is "one trillion, ten billion, eleven million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 162642691 325285382 487928073 813213455 975856146 1463784219 1626426910 2439640365 2927568438 3740781893 4391352657 4879280730 7318921095 7481563786 8782705314 11222345679 14637842190 18703909465 21956763285 22444691358 33667037037 37407818930 43913526570 56111728395 67334074074 101001111111 112223456790 168335185185 202002222222 336670370370 505005555555 1010011111110