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2201201002220 = 22511219317412707
BaseRepresentation
bin100000000010000001110…
…011011100011011101100
321210102200111000202210012
4200002001303130123230
5242031024424032340
64403115012432352
7315013545543203
oct40020163343354
97712614022705
102201201002220
11779584642800
122b67359186b8
1312c759638c3c
147877828223a
153c3d1ad9565
hex20081cdc6ec

2201201002220 has 144 divisors (see below), whose sum is σ = 5112101545824. Its totient is φ = 795538022400.

The previous prime is 2201201002211. The next prime is 2201201002241. The reversal of 2201201002220 is 222001021022.

It is a junction number, because it is equal to n+sod(n) for n = 2201201002195 and 2201201002204.

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, 813150107 + ... + 813152813.

Almost surely, 22201201002220 is an apocalyptic number.

2201201002220 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 2201201002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556050772912).

2201201002220 is an abundant number, since it is smaller than the sum of its proper divisors (2910900543604).

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

2201201002220 is a wasteful number, since it uses less digits than its factorization.

2201201002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2201201002220 its reverse (222001021022), we get a palindrome (2423202023242).

The spelling of 2201201002220 in words is "two trillion, two hundred one billion, two hundred one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 193 220 242 386 484 605 772 965 1210 1741 1930 2123 2420 2707 3482 3860 4246 5414 6964 8492 8705 10615 10828 13535 17410 19151 21230 23353 27070 29777 34820 38302 42460 46706 54140 59554 76604 93412 95755 116765 119108 148885 191510 210661 233530 297770 327547 336013 383020 421322 467060 522451 595540 655094 672026 842644 1044902 1053305 1310188 1344052 1637735 1680065 2089804 2106610 2612255 3275470 3360130 3696143 4213220 4712887 5224510 5746961 6550940 6720260 7392286 9425774 10449020 11493922 14784572 18480715 18851548 22987844 23564435 28734805 36961430 40657573 47128870 51841757 57469610 63216571 73922860 81315146 94257740 103683514 114939220 126433142 162630292 203287865 207367028 252866284 259208785 316082855 406575730 518417570 570259327 632165710 813151460 909587191 1036835140 1140518654 1264331420 1819174382 2281037308 2851296635 3638348764 4547935955 5702593270 9095871910 10005459101 11405186540 18191743820 20010918202 40021836404 50027295505 100054591010 110060050111 200109182020 220120100222 440240200444 550300250555 1100600501110 2201201002220