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3121330200 = 2335216731151
BaseRepresentation
bin1011101000001011…
…1011100000011000
322001112100000002020
42322002323200120
522343030031300
61233420534440
7140230604022
oct27202734030
98045300066
103121330200
111361a0063a
127313b1420
133a9885a61
1421878b012
1513405d8a0
hexba0bb818

3121330200 has 96 divisors (see below), whose sum is σ = 9734376960. Its totient is φ = 827344000.

The previous prime is 3121330189. The next prime is 3121330259. The reversal of 3121330200 is 20331213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3121330200.

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, 84625 + ... + 115775.

It is an arithmetic number, because the mean of its divisors is an integer number (101399760).

Almost surely, 23121330200 is an apocalyptic number.

3121330200 is a gapful number since it is divisible by the number (30) 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 3121330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867188480).

3121330200 is an abundant number, since it is smaller than the sum of its proper divisors (6613046760).

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

3121330200 is a wasteful number, since it uses less digits than its factorization.

3121330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31337 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3121330200 is about 55868.8661062671. The cubic root of 3121330200 is about 1461.4363483882.

Adding to 3121330200 its reverse (20331213), we get a palindrome (3141661413).

The spelling of 3121330200 in words is "three billion, one hundred twenty-one million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 25050 31151 33400 50100 62302 93453 100200 124604 155755 186906 249208 311510 373812 467265 623020 747624 778775 934530 1246040 1557550 1869060 2336325 3115100 3738120 4672650 5202217 6230200 9345300 10404434 15606651 18690600 20808868 26011085 31213302 41617736 52022170 62426604 78033255 104044340 124853208 130055425 156066510 208088680 260110850 312133020 390166275 520221700 624266040 780332550 1040443400 1560665100 3121330200