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110122311012 = 223737167212167
BaseRepresentation
bin110011010001111001…
…1010001110101100100
3101112020121120000112120
41212203303101311210
53301012302423022
6122331155145540
710645635125220
oct1464363216544
9345217500476
10110122311012
11427801a019a
12194138a52b0
13a4cc95299c
145489541780
152ce7c07d5c
hex19a3cd1d64

110122311012 has 96 divisors (see below), whose sum is σ = 303403634688. Its totient is φ = 30429696384.

The previous prime is 110122310999. The next prime is 110122311023. The reversal of 110122311012 is 210113221011.

It is a junction number, because it is equal to n+sod(n) for n = 110122310982 and 110122311000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 412953 + ... + 625119.

It is an arithmetic number, because the mean of its divisors is an integer number (3160454528).

Almost surely, 2110122311012 is an apocalyptic number.

110122311012 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 110122311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151701817344).

110122311012 is an abundant number, since it is smaller than the sum of its proper divisors (193281323676).

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

110122311012 is a wasteful number, since it uses less digits than its factorization.

110122311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212385 (or 212383 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110122311012 its reverse (210113221011), we get a palindrome (320235532023).

Subtracting 110122311012 from its reverse (210113221011), we obtain a palindrome (99990909999).

The spelling of 110122311012 in words is "one hundred ten billion, one hundred twenty-two million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 167 222 259 334 444 501 518 668 777 1002 1036 1169 1554 2004 2338 3108 3507 4676 6179 7014 12358 14028 18537 24716 37074 43253 74148 86506 129759 173012 212167 259518 424334 519036 636501 848668 1273002 1485169 2546004 2970338 4455507 5940676 7850179 8911014 15700358 17822028 23550537 31400716 35431889 47101074 54951253 70863778 94202148 106295667 109902506 141727556 164853759 212591334 219805012 248023223 329707518 425182668 496046446 659415036 744069669 992092892 1310979893 1488139338 2621959786 2976278676 3932939679 5243919572 7865879358 9176859251 15731758716 18353718502 27530577753 36707437004 55061155506 110122311012