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1200020110110 = 232553922127283
BaseRepresentation
bin10001011101100110110…
…001011011101100011110
311020201110110112210212100
4101131212301123230132
5124130120122010420
62315140455345530
7152461421431053
oct21354661335436
94221413483770
101200020110110
11422a20082118
121746a43822a6
1389213809293
144211d08102a
152133685e190
hex11766c5bb1e

1200020110110 has 96 divisors (see below), whose sum is σ = 3179382474528. Its totient is φ = 313921969920.

The previous prime is 1200020110033. The next prime is 1200020110111. The reversal of 1200020110110 is 110110200021.

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 = 1200020110092 and 1200020110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200020110111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 43970529 + ... + 43997811.

It is an arithmetic number, because the mean of its divisors is an integer number (33118567443).

Almost surely, 21200020110110 is an apocalyptic number.

1200020110110 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 1200020110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589691237264).

1200020110110 is an abundant number, since it is smaller than the sum of its proper divisors (1979362364418).

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

1200020110110 is a wasteful number, since it uses less digits than its factorization.

1200020110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36570 (or 36567 counting only the distinct ones).

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

Adding to 1200020110110 its reverse (110110200021), we get a palindrome (1310130310131).

The spelling of 1200020110110 in words is "one trillion, two hundred billion, twenty million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 9221 18442 27283 27663 46105 54566 55326 81849 82989 92210 136415 138315 163698 165978 245547 272830 276630 409245 414945 488713 491094 818490 829890 977426 1227735 1445999 1466139 2443565 2455470 2891998 2932278 4337997 4398417 4887130 7229995 7330695 8675994 8796834 13013991 14459990 14661390 21689985 21992085 26027982 43379970 43984170 65069955 130139910 251576543 503153086 754729629 1257882715 1509459258 2264188887 2515765430 3773648145 4528377774 7547296290 11320944435 13333556779 22641888870 26667113558 40000670337 66667783895 80001340674 120002011011 133335567790 200003351685 240004022022 400006703370 600010055055 1200020110110