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2120201300 = 2252717916921
BaseRepresentation
bin111111001011111…
…1011010001010100
312110202112101102002
41332113323101110
513320232420200
6550215134432
7103353261620
oct17627732124
95422471362
102120201300
11998886688
124b2074418
1327a341aa9
14161828180
15c6207bd5
hex7e5fb454

2120201300 has 72 divisors (see below), whose sum is σ = 5287786560. Its totient is φ = 722822400.

The previous prime is 2120201297. The next prime is 2120201323. The reversal of 2120201300 is 31020212.

It is a happy number.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116840 + ... + 133760.

It is an arithmetic number, because the mean of its divisors is an integer number (73441480).

Almost surely, 22120201300 is an apocalyptic number.

2120201300 is a gapful number since it is divisible by the number (20) 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 2120201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643893280).

2120201300 is an abundant number, since it is smaller than the sum of its proper divisors (3167585260).

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

2120201300 is a wasteful number, since it uses less digits than its factorization.

2120201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121 (or 17114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2120201300 is about 46045.6436593083. The cubic root of 2120201300 is about 1284.6723162295.

Adding to 2120201300 its reverse (31020212), we get a palindrome (2151221512).

The spelling of 2120201300 in words is "two billion, one hundred twenty million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 700 716 895 1253 1790 2506 3580 4475 5012 6265 8950 12530 16921 17900 25060 31325 33842 62650 67684 84605 118447 125300 169210 236894 338420 423025 473788 592235 846050 1184470 1692100 2368940 2961175 3028859 5922350 6057718 11844700 12115436 15144295 21202013 30288590 42404026 60577180 75721475 84808052 106010065 151442950 212020130 302885900 424040260 530050325 1060100650 2120201300