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2102221000212 = 2231723141476929
BaseRepresentation
bin11110100101110110001…
…000101100111000010100
321102222012101200200201220
4132211312020230320110
5233420322034001322
64245425203450340
7304610665445604
oct36456610547024
97388171620656
102102221000212
11740601a4a253
1229b5116869b0
13123314248c08
1473a68896c04
1539a3c1d155c
hex1e97622ce14

2102221000212 has 144 divisors (see below), whose sum is σ = 5509983736320. Its totient is φ = 622677196800.

The previous prime is 2102221000183. The next prime is 2102221000247. The reversal of 2102221000212 is 2120001222012.

It is a junction number, because it is equal to n+sod(n) for n = 2102221000191 and 2102221000200.

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, 4169364 + ... + 4646292.

Almost surely, 22102221000212 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 2102221000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754991868160).

2102221000212 is an abundant number, since it is smaller than the sum of its proper divisors (3407762736108).

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

2102221000212 is a wasteful number, since it uses less digits than its factorization.

2102221000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477042 (or 477023 counting only the distinct ones).

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

Adding to 2102221000212 its reverse (2120001222012), we get a palindrome (4222222222224).

The spelling of 2102221000212 in words is "two trillion, one hundred two billion, two hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 31 34 41 51 62 68 82 93 102 123 124 164 186 204 246 289 372 492 527 578 697 867 1054 1156 1271 1394 1581 1734 2091 2108 2542 2788 3162 3468 3813 4182 5084 6324 7626 8364 8959 11849 15252 17918 21607 23698 26877 35547 35836 43214 47396 53754 64821 71094 86428 107508 129642 142188 259284 367319 476929 734638 953858 1101957 1430787 1469276 1907716 2203914 2861574 4407828 5723148 8107793 14784799 16215586 19554089 24323379 29569598 32431172 39108178 44354397 48646758 58662267 59139196 78216356 88708794 97293516 117324534 137832481 177417588 234649068 251341583 275664962 332419513 413497443 502683166 551329924 606176759 664839026 754024749 826994886 997258539 1005366332 1212353518 1329678052 1508049498 1653989772 1818530277 1994517078 2424707036 3016098996 3637060554 3989034156 4272806911 5651131721 7274121108 8545613822 10305004903 11302263442 12818420733 16953395163 17091227644 20610009806 22604526884 25636841466 30915014709 33906790326 41220019612 51273682932 61830029418 67813580652 123660058836 175185083351 350370166702 525555250053 700740333404 1051110500106 2102221000212