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111300002020 = 22543673116211
BaseRepresentation
bin110011110100111111…
…1110100000011100100
3101122021200120220220001
41213221333310003210
53310420300031040
6123044105151044
711020055256544
oct1475177640344
9348250526801
10111300002020
1143224a49949
12196a218b484
13a659935a7c
14555bb05324
152d662d859a
hex19e9ff40e4

111300002020 has 96 divisors (see below), whose sum is σ = 243554927616. Its totient is φ = 42691017600.

The previous prime is 111300001993. The next prime is 111300002027. The reversal of 111300002020 is 20200003111.

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 = 111300001988 and 111300002006.

It is not an unprimeable number, because it can be changed into a prime (111300002027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17916715 + ... + 17922925.

It is an arithmetic number, because the mean of its divisors is an integer number (2537030496).

Almost surely, 2111300002020 is an apocalyptic number.

111300002020 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 111300002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777463808).

111300002020 is an abundant number, since it is smaller than the sum of its proper divisors (132254925596).

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

111300002020 is a wasteful number, since it uses less digits than its factorization.

111300002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 111300002020 its reverse (20200003111), we get a palindrome (131500005131).

The spelling of 111300002020 in words is "one hundred eleven billion, three hundred million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 67 86 134 172 215 268 311 335 430 622 670 860 1244 1340 1555 2881 3110 5762 6211 6220 11524 12422 13373 14405 20837 24844 26746 28810 31055 41674 53492 57620 62110 66865 83348 104185 124220 133730 208370 267073 267460 416137 416740 534146 832274 895991 1068292 1335365 1664548 1791982 1931621 2080685 2670730 3583964 3863242 4161370 4479955 5341460 7726484 8322740 8959910 9658105 17893891 17919820 19316210 35787782 38632420 71575564 83059703 89469455 129418607 166119406 178938910 258837214 332238812 357877820 415298515 517674428 647093035 830597030 1294186070 1661194060 2588372140 5565000101 11130000202 22260000404 27825000505 55650001010 111300002020