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111210010120 = 23511618349921
BaseRepresentation
bin110011110010010100…
…0100001011000001000
3101122001102020212012201
41213210220201120020
53310224230310440
6123031132245544
711014613326516
oct1474450413010
9348042225181
10111210010120
1143189173680
12196780108b4
13a6440b7721
14554db9b4b6
152d5d45e19a
hex19e4a21608

111210010120 has 128 divisors (see below), whose sum is σ = 280793278080. Its totient is φ = 39297024000.

The previous prime is 111210010097. The next prime is 111210010139. The reversal of 111210010120 is 21010012111.

111210010120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111210010097 and 111210010106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202760 + ... + 2252680.

It is an arithmetic number, because the mean of its divisors is an integer number (2193697485).

Almost surely, 2111210010120 is an apocalyptic number.

111210010120 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 111210010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140396639040).

111210010120 is an abundant number, since it is smaller than the sum of its proper divisors (169583267960).

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

111210010120 is a wasteful number, since it uses less digits than its factorization.

111210010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50087 (or 50083 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111210010120 its reverse (21010012111), we get a palindrome (132220022231).

The spelling of 111210010120 in words is "one hundred eleven billion, two hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 83 88 110 122 166 220 244 305 332 415 440 488 610 664 671 830 913 1220 1342 1660 1826 2440 2684 3320 3355 3652 4565 5063 5368 6710 7304 9130 10126 13420 18260 20252 25315 26840 36520 40504 49921 50630 55693 99842 101260 111386 199684 202520 222772 249605 278465 399368 445544 499210 549131 556930 998420 1098262 1113860 1996840 2196524 2227720 2745655 3045181 4143443 4393048 5491310 6090362 8286886 10982620 12180724 15225905 16573772 20717215 21965240 24361448 30451810 33147544 33496991 41434430 45577873 60903620 66993982 82868860 91155746 121807240 133987964 165737720 167484955 182311492 227889365 252750023 267975928 334969910 364622984 455778730 505500046 669939820 911557460 1011000092 1263750115 1339879640 1823114920 2022000184 2527500230 2780250253 5055000460 5560500506 10110000920 11121001012 13901251265 22242002024 27802502530 55605005060 111210010120