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221000210221212 = 223852316101301
BaseRepresentation
bin110010001111111110011111…
…000001101000100010011100
31001222111102011122002100000000
4302033332133001220202130
5212431331412304034322
62102010032303534300
764356511142053332
oct6217763701504234
91058442148070000
10221000210221212
116446573222a614
12209533a32ba390
1396412cc263ba6
143c806781abb52
151a83ac8d643ac
hexc8ff9f06889c

221000210221212 has 108 divisors (see below), whose sum is σ = 581205284817976. Its totient is φ = 73525877992800.

The previous prime is 221000210221207. The next prime is 221000210221247. The reversal of 221000210221212 is 212122012000122.

It is a happy number.

221000210221212 is a `hidden beast` number, since 2 + 21 + 0 + 0 + 0 + 210 + 221 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5674962 + ... + 21776262.

Almost surely, 2221000210221212 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 221000210221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290602642408988).

221000210221212 is an abundant number, since it is smaller than the sum of its proper divisors (360205074596764).

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

221000210221212 is an equidigital number, since it uses as much as digits as its factorization.

221000210221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16101852 (or 16101829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221000210221212 its reverse (212122012000122), we get a palindrome (433122222221334).

The spelling of 221000210221212 in words is "two hundred twenty-one trillion, two hundred ten million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 523 729 972 1046 1458 1569 2092 2187 2916 3138 4374 4707 6276 6561 8748 9414 13122 14121 18828 26244 28242 42363 56484 84726 127089 169452 254178 381267 508356 762534 1143801 1525068 2287602 3431403 4575204 6862806 13725612 16101301 32202602 48303903 64405204 96607806 144911709 193215612 289823418 434735127 579646836 869470254 1304205381 1738940508 2608410762 3912616143 5216821524 7825232286 8420980423 11737848429 15650464572 16841960846 23475696858 25262941269 33683921692 35213545287 46951393716 50525882538 70427090574 75788823807 101051765076 105640635861 140854181148 151577647614 211281271722 227366471421 303155295228 422562543444 454732942842 682099414263 909465885684 1364198828526 2046298242789 2728397657052 4092596485578 6138894728367 8185192971156 12277789456734 18416684185101 24555578913468 36833368370202 55250052555303 73666736740404 110500105110606 221000210221212