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2201101221020 = 2251326191052041
BaseRepresentation
bin100000000001111011110…
…110110011110010011100
321210102102112021100201012
4200001323312303302130
5242030323403033040
64403101050034352
7315011224452002
oct40017366636234
97712375240635
102201101221020
117795332906a9
122b67084189b8
1312c741a70c00
1478768d0aa72
153c3c7e79865
hex2007bdb3c9c

2201101221020 has 72 divisors (see below), whose sum is σ = 5013316783440. Its totient is φ = 811400578560.

The previous prime is 2201101221013. The next prime is 2201101221061. The reversal of 2201101221020 is 201221011022.

2201101221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2201101220986 and 2201101221004.

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, 1566200 + ... + 2618240.

It is an arithmetic number, because the mean of its divisors is an integer number (69629399770).

Almost surely, 22201101221020 is an apocalyptic number.

2201101221020 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 2201101221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506658391720).

2201101221020 is an abundant number, since it is smaller than the sum of its proper divisors (2812215562420).

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

2201101221020 is a wasteful number, since it uses less digits than its factorization.

2201101221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052695 (or 1052680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201101221020 its reverse (201221011022), we get a palindrome (2402322232042).

The spelling of 2201101221020 in words is "two trillion, two hundred one billion, one hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 619 676 845 1238 1690 2476 3095 3380 6190 8047 12380 16094 32188 40235 80470 104611 160940 209222 418444 523055 1046110 1052041 2092220 2104082 4208164 5260205 10520410 13676533 21040820 27353066 54706132 68382665 136765330 177794929 273530660 355589858 651213379 711179716 888974645 1302426758 1777949290 2604853516 3256066895 3555898580 6512133790 8465773927 13024267580 16931547854 33863095708 42328869635 84657739270 110055061051 169315478540 220110122102 440220244204 550275305255 1100550610510 2201101221020