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3120140200 = 235243461787
BaseRepresentation
bin1011100111111001…
…1000111110101000
322001110002112201011
42321332120332220
522342223441300
61233335233304
7140214516442
oct27176307650
98043075634
103120140200
111361268571
12730b18834
133a955a208
1421855b492
15133dc5eba
hexb9f98fa8

3120140200 has 96 divisors (see below), whose sum is σ = 7448585760. Its totient is φ = 1214841600.

The previous prime is 3120140183. The next prime is 3120140201. The reversal of 3120140200 is 20410213.

It is not an unprimeable number, because it can be changed into a prime (3120140201) by changing a digit.

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, 3964207 + ... + 3964993.

It is an arithmetic number, because the mean of its divisors is an integer number (77589435).

Almost surely, 23120140200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724292880).

3120140200 is an abundant number, since it is smaller than the sum of its proper divisors (4328445560).

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

3120140200 is a wasteful number, since it uses less digits than its factorization.

3120140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3120140200 is about 55858.2151522943. The cubic root of 3120140200 is about 1461.2506016926.

Adding to 3120140200 its reverse (20410213), we get a palindrome (3140550413).

The spelling of 3120140200 in words is "three billion, one hundred twenty million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 461 787 860 922 1075 1574 1720 1844 2150 2305 3148 3688 3935 4300 4610 6296 7870 8600 9220 11525 15740 18440 19675 19823 23050 31480 33841 39350 39646 46100 67682 78700 79292 92200 99115 135364 157400 158584 169205 198230 270728 338410 362807 396460 495575 676820 725614 792920 846025 991150 1353640 1451228 1692050 1814035 1982300 2902456 3384100 3628070 3964600 6768200 7256140 9070175 14512280 15600701 18140350 31201402 36280700 62402804 72561400 78003505 124805608 156007010 312014020 390017525 624028040 780035050 1560070100 3120140200