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1121223121110 = 2325103149811757
BaseRepresentation
bin10000010100001110000…
…110110001100011010110
310222012001222010000201100
4100110032012301203112
5121332231104333420
62215025514410530
7144001645165131
oct20241606614326
93865058100640
101121223121110
113a2565249004
12161373430a46
13819669b12c1
143c3a5dbb218
151e273cc3190
hex1050e1b18d6

1121223121110 has 96 divisors (see below), whose sum is σ = 2963241403200. Its totient is φ = 294102445824.

The previous prime is 1121223121061. The next prime is 1121223121127. The reversal of 1121223121110 is 111213221211.

It is a happy number.

1121223121110 is a `hidden beast` number, since 1 + 1 + 212 + 231 + 211 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975352 + ... + 1787108.

It is an arithmetic number, because the mean of its divisors is an integer number (30867097950).

Almost surely, 21121223121110 is an apocalyptic number.

1121223121110 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 1121223121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481620701600).

1121223121110 is an abundant number, since it is smaller than the sum of its proper divisors (1842018282090).

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

1121223121110 is a wasteful number, since it uses less digits than its factorization.

1121223121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812022 (or 812019 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1121223121110 its reverse (111213221211), we get a palindrome (1232436342321).

The spelling of 1121223121110 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 149 206 298 309 447 515 618 745 894 927 1030 1341 1490 1545 1854 2235 2682 3090 4470 4635 6705 9270 13410 15347 30694 46041 76735 92082 138123 153470 230205 276246 460410 690615 811757 1381230 1623514 2435271 4058785 4870542 7305813 8117570 12176355 14611626 24352710 36529065 73058130 83610971 120951793 167221942 241903586 250832913 362855379 418054855 501665826 604758965 725710758 752498739 836109710 1088566137 1209517930 1254164565 1504997478 1814276895 2177132274 2508329130 3628553790 3762493695 5442830685 7524987390 10885661370 12458034679 24916069358 37374104037 62290173395 74748208074 112122312111 124580346790 186870520185 224244624222 373741040370 560611560555 1121223121110