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211404404112 = 243111013964229
BaseRepresentation
bin1100010011100010101…
…1110011010110010000
3202012200010200102212220
43010320223303112100
511430424011412422
6241041242021040
721162540533406
oct3047053632620
9665603612786
10211404404112
1181724302870
1234b7aaa7780
1316c20c6a8a5
14a336981476
155774796e5c
hex3138af3590

211404404112 has 80 divisors (see below), whose sum is σ = 601674972480. Its totient is φ = 63427648000.

The previous prime is 211404404083. The next prime is 211404404177.

211404404112 is nontrivially palindromic in base 10.

211404404112 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928787 + ... + 2035442.

It is an arithmetic number, because the mean of its divisors is an integer number (7520937156).

Almost surely, 2211404404112 is an apocalyptic number.

211404404112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211404404112 is an abundant number, since it is smaller than the sum of its proper divisors (390270568368).

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

211404404112 is a wasteful number, since it uses less digits than its factorization.

211404404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964352 (or 3964346 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 211404 and 404112, that added together give a palindrome (615516).

The spelling of 211404404112 in words is "two hundred eleven billion, four hundred four million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 3964229 7928458 11892687 15856916 23785374 31713832 43606519 47570748 63427664 87213038 95141496 130819557 174426076 190282992 261639114 348852152 400387129 523278228 697704304 800774258 1046556456 1201161387 1601548516 2093112912 2402322774 3203097032 4404258419 4804645548 6406194064 8808516838 9609291096 13212775257 17617033676 19218582192 26425550514 35234067352 52851101028 70468134704 105702202056 211404404112