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111242102020 = 225721715594283
BaseRepresentation
bin110011110011010001…
…0111100010100000100
3101122010122122022000121
41213212202330110010
53310310434231040
6123034240151324
711015453160100
oct1474642742404
9348118568017
10111242102020
11431a52a2805
1219686908544
13a64a94290a
145554152900
152d6119cc4a
hex19e68bc504

111242102020 has 144 divisors (see below), whose sum is σ = 287985559680. Its totient is φ = 35865209856.

The previous prime is 111242102011. The next prime is 111242102029. The reversal of 111242102020 is 20201242111.

It is an interprime number because it is at equal distance from previous prime (111242102011) and next prime (111242102029).

It is a junction number, because it is equal to n+sod(n) for n = 111242101985 and 111242102003.

It is not an unprimeable number, because it can be changed into a prime (111242102029) by changing a digit.

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, 25970799 + ... + 25975081.

It is an arithmetic number, because the mean of its divisors is an integer number (1999899720).

Almost surely, 2111242102020 is an apocalyptic number.

111242102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111242102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143992779840).

111242102020 is an abundant number, since it is smaller than the sum of its proper divisors (176743457660).

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

111242102020 is a wasteful number, since it uses less digits than its factorization.

111242102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 111242102020 its reverse (20201242111), we get a palindrome (131443344131).

The spelling of 111242102020 in words is "one hundred eleven billion, two hundred forty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1559 1666 2380 3118 3332 4165 4283 6236 7795 8330 8566 10913 15590 16660 17132 21415 21826 26503 29981 31180 42830 43652 53006 54565 59962 72811 76391 85660 106012 109130 119924 132515 145622 149905 152782 185521 209867 218260 265030 291244 299810 305564 364055 371042 381955 419734 509677 530060 599620 728110 742084 763910 839468 927605 1019354 1049335 1298647 1456220 1527820 1855210 2038708 2098670 2548385 2597294 3567739 3710420 4197340 5096770 5194588 6493235 6677197 7135478 10193540 12986470 13354394 14270956 17838695 25972940 26708788 33385985 35677390 46740379 66771970 71354780 93480758 113512349 133543940 186961516 227024698 233701895 327182653 454049396 467403790 567561745 654365306 794586443 934807580 1135123490 1308730612 1589172886 1635913265 2270246980 3178345772 3271826530 3972932215 5562105101 6543653060 7945864430 11124210202 15891728860 22248420404 27810525505 55621051010 111242102020