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2211030001320 = 2335713032020091
BaseRepresentation
bin100000001011001011101…
…010000110011010101000
321211101001111000122202220
4200023023222012122220
5242211142140020240
64411422210154040
7315512245630230
oct40131352063250
97741044018686
102211030001320
11782768881258
122b8619582920
13130664a8363a
147902b810cc0
153c7a996a5d0
hex202cba866a8

2211030001320 has 128 divisors (see below), whose sum is σ = 7586495907840. Its totient is φ = 504990178560.

The previous prime is 2211030001267. The next prime is 2211030001333. The reversal of 2211030001320 is 231000301122.

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 2211030001320.

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 31 ways as a sum of consecutive naturals, for example, 84475 + ... + 2104565.

It is an arithmetic number, because the mean of its divisors is an integer number (59269499280).

Almost surely, 22211030001320 is an apocalyptic number.

2211030001320 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 2211030001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793247953920).

2211030001320 is an abundant number, since it is smaller than the sum of its proper divisors (5375465906520).

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

2211030001320 is a wasteful number, since it uses less digits than its factorization.

2211030001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021415 (or 2021411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2211030001320 its reverse (231000301122), we get a palindrome (2442030302442).

The spelling of 2211030001320 in words is "two trillion, two hundred eleven billion, thirty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1303 2606 3909 5212 6515 7818 9121 10424 13030 15636 18242 19545 26060 27363 31272 36484 39090 45605 52120 54726 72968 78180 91210 109452 136815 156360 182420 218904 273630 364840 547260 1094520 2020091 4040182 6060273 8080364 10100455 12120546 14140637 16160728 20200910 24241092 28281274 30301365 40401820 42421911 48482184 56562548 60602730 70703185 80803640 84843822 113125096 121205460 141406370 169687644 212109555 242410920 282812740 339375288 424219110 565625480 848438220 1696876440 2632178573 5264357146 7896535719 10528714292 13160892865 15793071438 18425250011 21057428584 26321785730 31586142876 36850500022 39482678595 52643571460 55275750033 63172285752 73701000044 78965357190 92126250055 105287142920 110551500066 147402000088 157930714380 184252500110 221103000132 276378750165 315861428760 368505000220 442206000264 552757500330 737010000440 1105515000660 2211030001320