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120021313300 = 225271229139511
BaseRepresentation
bin110111111000111010…
…0111110011100010100
3102110210111021102211221
41233301310332130110
53431300424011200
6131045333140124
711446145221210
oct1576164763424
9373714242757
10120021313300
114699a9a2119
121b316a8a644
13b41973a4a5
145b480d3940
1531c6cb591a
hex1bf1d3e714

120021313300 has 72 divisors (see below), whose sum is σ = 297897183360. Its totient is φ = 41116387200.

The previous prime is 120021313271. The next prime is 120021313303. The reversal of 120021313300 is 3313120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021313303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790545 + ... + 930055.

It is an arithmetic number, because the mean of its divisors is an integer number (4137460880).

Almost surely, 2120021313300 is an apocalyptic number.

120021313300 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 120021313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948591680).

120021313300 is an abundant number, since it is smaller than the sum of its proper divisors (177875870060).

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

120021313300 is a wasteful number, since it uses less digits than its factorization.

120021313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140761 (or 140754 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120021313300 its reverse (3313120021), we get a palindrome (123334433321).

The spelling of 120021313300 in words is "one hundred twenty billion, twenty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1229 2458 4916 6145 8603 12290 17206 24580 30725 34412 43015 61450 86030 122900 139511 172060 215075 279022 430150 558044 697555 860300 976577 1395110 1953154 2790220 3487775 3906308 4882885 6975550 9765770 13951100 19531540 24414425 48828850 97657700 171459019 342918038 685836076 857295095 1200213133 1714590190 2400426266 3429180380 4286475475 4800852532 6001065665 8572950950 12002131330 17145901900 24004262660 30005328325 60010656650 120021313300