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11352120111112 = 23112191213508847
BaseRepresentation
bin1010010100110001111100…
…0101100011000000001000
31111012020210202202200101011
42211030133011203000020
52441443120222023422
640051031511333304
72251110055556464
oct245143705430010
944166722680334
1011352120111112
113687452943100
12133414a081234
136446673023a1
142b363480b4a4
1514a4648e9077
hexa531f163008

11352120111112 has 96 divisors (see below), whose sum is σ = 24647884732800. Its totient is φ = 4884433107840.

The previous prime is 11352120111077. The next prime is 11352120111121. The reversal of 11352120111112 is 21111102125311.

It is a super-2 number, since 2×113521201111122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 22055073 + ... + 22563919.

It is an arithmetic number, because the mean of its divisors is an integer number (256748799300).

Almost surely, 211352120111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352120111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323942366400).

11352120111112 is an abundant number, since it is smaller than the sum of its proper divisors (13295764621688).

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

11352120111112 is a wasteful number, since it uses less digits than its factorization.

11352120111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510107 (or 510092 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 22.

Adding to 11352120111112 its reverse (21111102125311), we get a palindrome (32463222236423).

The spelling of 11352120111112 in words is "eleven trillion, three hundred fifty-two billion, one hundred twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1213 1672 2299 2426 4598 4852 9196 9704 13343 18392 23047 26686 46094 53372 92188 106744 146773 184376 253517 293546 507034 508847 587092 1014068 1017694 1174184 2028136 2035388 2788687 4070776 5577374 5597317 9668093 11154748 11194634 19336186 22309496 22389268 38672372 44778536 61570487 77344744 106349023 123140974 212698046 246281948 425396092 492563896 617231411 850792184 1169839253 1234462822 2339678506 2468925644 4679357012 4937851288 6789545521 9358714024 11727396809 13579091042 23454793618 27158182084 46909587236 54316364168 74685000731 93819174472 129001364899 149370001462 258002729798 298740002924 516005459596 597480005848 1032010919192 1419015013889 2838030027778 5676060055556 11352120111112