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2200220121300 = 22352109157428567
BaseRepresentation
bin100000000001000111010…
…101101011100011010100
321210100011010022212010020
4200001013111223203110
5242022022322340200
64402433413025140
7314650335312105
oct40010725534324
97710133285106
102200220121300
11779120998413
122b65013251b0
1312c631364226
14786c3cb03ac
153c375932ea0
hex2004756b8d4

2200220121300 has 144 divisors (see below), whose sum is σ = 6465308277120. Its totient is φ = 577638397440.

The previous prime is 2200220121299. The next prime is 2200220121349. The reversal of 2200220121300 is 31210220022.

It is a happy number.

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 2200220121300.

It is a congruent number.

It is an unprimeable number.

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, 4919617 + ... + 5348183.

Almost surely, 22200220121300 is an apocalyptic number.

2200220121300 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 2200220121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232654138560).

2200220121300 is an abundant number, since it is smaller than the sum of its proper divisors (4265088155820).

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

2200220121300 is a wasteful number, since it uses less digits than its factorization.

2200220121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428850 (or 428843 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2200220121300 its reverse (31210220022), we get a palindrome (2231430341322).

The spelling of 2200220121300 in words is "two trillion, two hundred billion, two hundred twenty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 157 218 300 314 327 436 471 545 628 654 785 942 1090 1308 1570 1635 1884 2180 2355 2725 3140 3270 3925 4710 5450 6540 7850 8175 9420 10900 11775 15700 16350 17113 23550 32700 34226 47100 51339 68452 85565 102678 171130 205356 256695 342260 427825 428567 513390 855650 857134 1026780 1283475 1285701 1711300 1714268 2142835 2566950 2571402 4285670 5133900 5142804 6428505 8571340 10714175 12857010 21428350 25714020 32142525 42856700 46713803 64285050 67285019 93427606 128570100 134570038 140141409 186855212 201855057 233569015 269140076 280282818 336425095 403710114 467138030 560565636 672850190 700707045 807420228 934276060 1009275285 1167845075 1345700380 1401414090 1682125475 2018550570 2335690150 2802828180 3364250950 3503535225 4037101140 4671380300 5046376425 6728501900 7007070450 7334067071 10092752850 14014140900 14668134142 20185505700 22002201213 29336268284 36670335355 44004402426 73340670710 88008804852 110011006065 146681341420 183351676775 220022012130 366703353550 440044024260 550055030325 733406707100 1100110060650 2200220121300