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111111099918 = 237131727914289
BaseRepresentation
bin110011101111010111…
…1001101011000001110
3101121210112010200220220
41213132233031120032
53310023420144133
6123013240252210
711012302523550
oct1473657153016
9347715120826
10111111099918
1143138356a05
121964aa71066
13a629765c90
1455409b14d0
152d549225b3
hex19debcd60e

111111099918 has 128 divisors (see below), whose sum is σ = 289764034560. Its totient is φ = 27563950080.

The previous prime is 111111099917. The next prime is 111111099919. The reversal of 111111099918 is 819990111111.

111111099918 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111111099917) and next prime (111111099919).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 111111099918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111099917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25903918 + ... + 25908206.

It is an arithmetic number, because the mean of its divisors is an integer number (2263781520).

Almost surely, 2111111099918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111111099918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144882017280).

111111099918 is an abundant number, since it is smaller than the sum of its proper divisors (178652934642).

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

111111099918 is a wasteful number, since it uses less digits than its factorization.

111111099918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122.

The product of its (nonzero) digits is 5832, while the sum is 42.

The spelling of 111111099918 in words is "one hundred eleven billion, one hundred eleven million, ninety-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 2791 3094 4289 4641 5582 8373 8578 9282 12867 16746 19537 25734 30023 36283 39074 47447 55757 58611 60046 72566 72913 90069 94894 108849 111514 117222 142341 145826 167271 180138 217698 218739 253981 284682 332129 334542 390299 437478 507962 510391 616811 664258 761943 780598 947869 996387 1020782 1170897 1233622 1523886 1531173 1850433 1895738 1992774 2341794 2843607 3062346 3700866 4317677 5687214 6635083 8635354 11970599 12953031 13270166 19905249 23941198 25906062 35911797 39810498 71823594 83794193 155617787 167588386 203500183 251382579 311235574 407000366 466853361 502765158 610500549 933706722 1089324509 1221001098 1424501281 2178649018 2645502379 2849002562 3267973527 4273503843 5291004758 6535947054 7936507137 8547007686 15873014274 18518516653 37037033306 55555549959 111111099918