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111093407316 = 223243191401937
BaseRepresentation
bin110011101110110101…
…1101101111001010100
3101121202021211211020100
41213131223231321110
53310004403013231
6123011405134100
711011666244613
oct1473553557124
9347667754210
10111093407316
1143129372221
1219644b5a330
13a625bacb98
14553c4c787a
152d530ca1e6
hex19ddaede54

111093407316 has 144 divisors (see below), whose sum is σ = 289883962368. Its totient is φ = 35852544000.

The previous prime is 111093407309. The next prime is 111093407371. The reversal of 111093407316 is 613704390111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 118562400 + ... + 118563336.

It is an arithmetic number, because the mean of its divisors is an integer number (2013083072).

Almost surely, 2111093407316 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 111093407316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144941981184).

111093407316 is an abundant number, since it is smaller than the sum of its proper divisors (178790555052).

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

111093407316 is a wasteful number, since it uses less digits than its factorization.

111093407316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Adding to 111093407316 its reverse (613704390111), we get a palindrome (724797797427).

The spelling of 111093407316 in words is "one hundred eleven billion, ninety-three million, four hundred seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 191 258 382 387 401 516 573 764 774 802 937 1146 1203 1548 1604 1719 1874 2292 2406 2811 3438 3609 3748 4812 5622 6876 7218 8213 8433 11244 14436 16426 16866 17243 24639 32852 33732 34486 40291 49278 51729 68972 73917 76591 80582 98556 103458 120873 147834 153182 155187 161164 178967 206916 229773 241746 295668 306364 310374 357934 362619 375737 459546 483492 536901 620748 689319 715868 725238 751474 919092 1073802 1127211 1378638 1450476 1502948 1610703 2147604 2254422 2757276 3221406 3293413 3381633 4508844 6442812 6586826 6763266 7695581 9880239 13173652 13526532 15391162 16156691 19760478 23086743 29640717 30782324 32313382 39520956 46173486 48470073 59281434 64626764 69260229 71765767 92346972 96940146 118562868 138520458 143531534 145410219 193880292 215297301 277040916 287063068 290820438 430594602 581640876 645891903 861189204 1291783806 2583567612 3085927981 6171855962 9257783943 12343711924 18515567886 27773351829 37031135772 55546703658 111093407316