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120100201020 = 223255211280659
BaseRepresentation
bin110111111011010000…
…1111010001000111100
3102110222222201100110100
41233312201322020330
53431431122413040
6131101232041100
711451123602442
oct1576641721074
9373888640410
10120100201020
1146a30483688
121b339393190
13b42cb9b507
145b5478ab92
1531cdb99b30
hex1bf687a23c

120100201020 has 72 divisors (see below), whose sum is σ = 365003467920. Its totient is φ = 31965223680.

The previous prime is 120100200977. The next prime is 120100201043. The reversal of 120100201020 is 20102001021.

120100201020 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100200993 and 120100201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546550 + ... + 734109.

It is an arithmetic number, because the mean of its divisors is an integer number (5069492610).

Almost surely, 2120100201020 is an apocalyptic number.

120100201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100201020 is an abundant number, since it is smaller than the sum of its proper divisors (244903266900).

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

120100201020 is a wasteful number, since it uses less digits than its factorization.

120100201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281195 (or 1281190 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120100201020 its reverse (20102001021), we get a palindrome (140202202041).

The spelling of 120100201020 in words is "one hundred twenty billion, one hundred million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 521 1042 1563 2084 2605 3126 4689 5210 6252 7815 9378 10420 15630 18756 23445 31260 46890 93780 1280659 2561318 3841977 5122636 6403295 7683954 11525931 12806590 15367908 19209885 23051862 25613180 38419770 46103724 57629655 76839540 115259310 230518620 667223339 1334446678 2001670017 2668893356 3336116695 4003340034 6005010051 6672233390 8006680068 10008350085 12010020102 13344466780 20016700170 24020040204 30025050255 40033400340 60050100510 120100201020