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1011000114 = 232239235007
BaseRepresentation
bin111100010000101…
…010001100110010
32121110101010102200
4330100222030302
54032304000424
6244153124030
734024234125
oct7420521462
92543333380
101011000114
11479757393
122426b9616
131315bc027
14983b23bc
155db558c9
hex3c42a332

1011000114 has 24 divisors (see below), whose sum is σ = 2199674880. Its totient is φ = 335588568.

The previous prime is 1011000101. The next prime is 1011000187. The reversal of 1011000114 is 4110001101.

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 = 1011000096 and 1011000105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113202 + ... + 121805.

It is an arithmetic number, because the mean of its divisors is an integer number (91653120).

Almost surely, 21011000114 is an apocalyptic number.

1011000114 is an abundant number, since it is smaller than the sum of its proper divisors (1188674766).

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

1011000114 is a wasteful number, since it uses less digits than its factorization.

1011000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235254 (or 235251 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011000114 is about 31796.2279838348. The cubic root of 1011000114 is about 1003.6533415089.

Adding to 1011000114 its reverse (4110001101), we get a palindrome (5121001215).

The spelling of 1011000114 in words is "one billion, eleven million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 239 478 717 1434 2151 4302 235007 470014 705021 1410042 2115063 4230126 56166673 112333346 168500019 337000038 505500057 1011000114