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110012001012 = 2235241469631
BaseRepresentation
bin110011001110100111…
…0011110101011110100
3101111221220222200200000
41212131032132223310
53300301033013022
6122312214551300
710643125402554
oct1463516365364
9344856880600
10110012001012
11427239a7701
12193a2968530
13a4b2b3c4b4
145478a29164
152cdd1b86ac
hex199d39eaf4

110012001012 has 72 divisors (see below), whose sum is σ = 289582605312. Its totient is φ = 36518428800.

The previous prime is 110012000963. The next prime is 110012001053. The reversal of 110012001012 is 210100210011.

It is a happy number.

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 = 110012000985 and 110012001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564 + ... + 469067.

Almost surely, 2110012001012 is an apocalyptic number.

110012001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110012001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144791302656).

110012001012 is an abundant number, since it is smaller than the sum of its proper divisors (179570604300).

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

110012001012 is a wasteful number, since it uses less digits than its factorization.

110012001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469891 (or 469877 counting only the distinct ones).

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

Adding to 110012001012 its reverse (210100210011), we get a palindrome (320112211023).

The spelling of 110012001012 in words is "one hundred ten billion, twelve million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 243 324 482 486 723 964 972 1446 2169 2892 4338 6507 8676 13014 19521 26028 39042 58563 78084 117126 234252 469631 939262 1408893 1878524 2817786 4226679 5635572 8453358 12680037 16906716 25360074 38040111 50720148 76080222 113181071 114120333 152160444 226362142 228240666 339543213 452724284 456481332 679086426 1018629639 1358172852 2037259278 3055888917 4074518556 6111777834 9167666751 12223555668 18335333502 27503000253 36670667004 55006000506 110012001012