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2220201021012 = 2231324347541699
BaseRepresentation
bin100000010011101110010…
…010110000111001010100
321212020201121220201200220
4200103232102300321110
5242333432430133022
64415540221034340
7316255436205042
oct40235622607124
97766647821626
102220201021012
11786644661077
122ba3589b59b0
13131496ab2100
147965b823392
153cb44b7985c
hex204ee4b0e54

2220201021012 has 144 divisors (see below), whose sum is σ = 5862216729600. Its totient is φ = 653053774464.

The previous prime is 2220201020977. The next prime is 2220201021067. The reversal of 2220201021012 is 2101201020222.

It is a junction number, because it is equal to n+sod(n) for n = 2220201020982 and 2220201021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3827739 + ... + 4369437.

It is an arithmetic number, because the mean of its divisors is an integer number (40709838400).

Almost surely, 22220201021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220201021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931108364800).

2220201021012 is an abundant number, since it is smaller than the sum of its proper divisors (3642015708588).

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

2220201021012 is a wasteful number, since it uses less digits than its factorization.

2220201021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541822 (or 541807 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220201021012 its reverse (2101201020222), we get a palindrome (4321402041234).

The spelling of 2220201021012 in words is "two trillion, two hundred twenty billion, two hundred one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 43 47 52 78 86 94 129 141 156 169 172 188 258 282 338 507 516 559 564 611 676 1014 1118 1222 1677 1833 2021 2028 2236 2444 3354 3666 4042 6063 6708 7267 7332 7943 8084 12126 14534 15886 21801 23829 24252 26273 29068 31772 43602 47658 52546 78819 87204 95316 105092 157638 315276 341549 541699 683098 1024647 1083398 1366196 1625097 2049294 2166796 3250194 4098588 6500388 7042087 14084174 21126261 23293057 25459853 28168348 42252522 46586114 50919706 69879171 76379559 84505044 91547131 93172228 101839412 139758342 152759118 183094262 274641393 279516684 302809741 305518236 330978089 366188524 549282786 605619482 661956178 908429223 992934267 1094773679 1098565572 1211238964 1323912356 1816858446 1985868534 2189547358 3284321037 3633716892 3936526633 3971737068 4302715157 4379094716 6568642074 7873053266 8605430314 11809579899 12908145471 13137284148 14232057827 15746106532 17210860628 23619159798 25816290942 28464115654 42696173481 47238319596 51632581884 56928231308 85392346962 170784693924 185016751751 370033503502 555050255253 740067007004 1110100510506 2220201021012