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2212003030300 = 2252722316638521
BaseRepresentation
bin100000001100000101101…
…001111010010100011100
321211110120021221122121021
4200030011221322110130
5242220140233432200
64412102525413524
7315545332346350
oct40140551722434
97743507848537
102212003030300
11783118053338
122b884b40a2a4
1313078b53942b
14790c0b3b460
153c8150c041a
hex20305a7a51c

2212003030300 has 144 divisors (see below), whose sum is σ = 5514327949312. Its totient is φ = 754457587200.

The previous prime is 2212003030297. The next prime is 2212003030301. The reversal of 2212003030300 is 30303002122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212003030301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259590040 + ... + 259598560.

Almost surely, 22212003030300 is an apocalyptic number.

2212003030300 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 2212003030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757163974656).

2212003030300 is an abundant number, since it is smaller than the sum of its proper divisors (3302324919012).

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

2212003030300 is a wasteful number, since it uses less digits than its factorization.

2212003030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2212003030300 its reverse (30303002122), we get a palindrome (2242306032422).

The spelling of 2212003030300 in words is "two trillion, two hundred twelve billion, three million, thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 223 350 446 700 892 1115 1561 1663 2230 3122 3326 4460 5575 6244 6652 7805 8315 8521 11150 11641 15610 16630 17042 22300 23282 31220 33260 34084 39025 41575 42605 46564 58205 59647 78050 83150 85210 116410 119294 156100 166300 170420 213025 232820 238588 291025 298235 370849 426050 582050 596470 741698 852100 1164100 1192940 1483396 1491175 1854245 1900183 2595943 2982350 3708490 3800366 5191886 5964700 7416980 7600732 9271225 9500915 10383772 12979715 13301281 14170423 18542450 19001830 25959430 26602562 28340846 37084900 38003660 47504575 51918860 53205124 56681692 64898575 66506405 70852115 95009150 99192961 129797150 133012810 141704230 190018300 198385922 259594300 266025620 283408460 332532025 354260575 396771844 495964805 665064050 708521150 991929610 1330128100 1417042300 1983859220 2479824025 3160004329 4959648050 6320008658 9919296100 12640017316 15800021645 22120030303 31600043290 44240060606 63200086580 79000108225 88480121212 110600151515 158000216450 221200303030 316000432900 442400606060 553000757575 1106001515150 2212003030300