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2120140200 = 233528939703
BaseRepresentation
bin111111001011110…
…1100010110101000
312110202102021121010
41332113230112220
513320223441300
6550213543520
7103352615523
oct17627542650
95422367533
102120140200
11998844792
124b2044ba0
1327a320039
1416180dbba
15c61e4a50
hex7e5ec5a8

2120140200 has 96 divisors (see below), whose sum is σ = 6646449600. Its totient is φ = 559004160.

The previous prime is 2120140171. The next prime is 2120140247. The reversal of 2120140200 is 20410212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 33549 + ... + 73251.

It is an arithmetic number, because the mean of its divisors is an integer number (69233850).

Almost surely, 22120140200 is an apocalyptic number.

2120140200 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 2120140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323224800).

2120140200 is an abundant number, since it is smaller than the sum of its proper divisors (4526309400).

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

2120140200 is a wasteful number, since it uses less digits than its factorization.

2120140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39811 (or 39802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120140200 is about 46044.9801824260. The cubic root of 2120140200 is about 1284.6599755408.

Adding to 2120140200 its reverse (20410212), we get a palindrome (2140550412).

The spelling of 2120140200 in words is "two billion, one hundred twenty million, one hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 8900 10680 13350 17800 26700 39703 53400 79406 119109 158812 198515 238218 317624 397030 476436 595545 794060 952872 992575 1191090 1588120 1985150 2382180 2977725 3533567 3970300 4764360 5955450 7067134 7940600 10600701 11910900 14134268 17667835 21201402 23821800 28268536 35335670 42402804 53003505 70671340 84805608 88339175 106007010 141342680 176678350 212014020 265017525 353356700 424028040 530035050 706713400 1060070100 2120140200