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3121200000300 = 22352101709145289
BaseRepresentation
bin101101011010110110000…
…001000110110100101100
3102001101100210110012220010
4231122312001012310230
5402114204200002200
610345505352053220
7441333150155454
oct55326601066454
912041323405803
103121200000300
11aa376a037888
12424aab694210
1319843550b905
14ab0d176cd64
15562c9c35150
hex2d6b6046d2c

3121200000300 has 144 divisors (see below), whose sum is σ = 9133010762400. Its totient is φ = 822911232000.

The previous prime is 3121200000263. The next prime is 3121200000329. The reversal of 3121200000300 is 30000021213.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 21410056 + ... + 21555344.

It is an arithmetic number, because the mean of its divisors is an integer number (63423685850).

Almost surely, 23121200000300 is an apocalyptic number.

3121200000300 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 3121200000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566505381200).

3121200000300 is an abundant number, since it is smaller than the sum of its proper divisors (6011810762100).

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

3121200000300 is a wasteful number, since it uses less digits than its factorization.

3121200000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146116 (or 146109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3121200000300 its reverse (30000021213), we get a palindrome (3151200021513).

The spelling of 3121200000300 in words is "three trillion, one hundred twenty-one billion, two hundred million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 709 1010 1212 1418 1515 2020 2127 2525 2836 3030 3545 4254 5050 6060 7090 7575 8508 10100 10635 14180 15150 17725 21270 30300 35450 42540 53175 70900 71609 106350 143218 145289 212700 214827 286436 290578 358045 429654 435867 581156 716090 726445 859308 871734 1074135 1432180 1452890 1743468 1790225 2148270 2179335 2905780 3580450 3632225 4296540 4358670 5370675 7160900 7264450 8717340 10741350 10896675 14528900 14674189 21482700 21793350 29348378 43586700 44022567 58696756 73370945 88045134 103009901 146741890 176090268 206019802 220112835 293483780 309029703 366854725 412039604 440225670 515049505 618059406 733709450 880451340 1030099010 1100564175 1236118812 1467418900 1545148515 2060198020 2201128350 2575247525 3090297030 4402256700 5150495050 6180594060 7725742575 10300990100 10404000001 15451485150 20808000002 30902970300 31212000003 41616000004 52020000005 62424000006 104040000010 124848000012 156060000015 208080000020 260100000025 312120000030 520200000050 624240000060 780300000075 1040400000100 1560600000150 3121200000300