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21122002122111 = 3311432929756453
BaseRepresentation
bin1001100110101110110010…
…11011101111010101111111
32202210020120122101212212000
410303113121123233111333
510232030330020401421
6112531151441313343
74310004621504012
oct463273133572577
982706518355760
1021122002122111
116803877604020
122451703935853
13ba2a474a4b77
1453044b899379
15269672234226
hex1335d96ef57f

21122002122111 has 64 divisors (see below), whose sum is σ = 34932253847040. Its totient is φ = 12502862507520.

The previous prime is 21122002122107. The next prime is 21122002122167. The reversal of 21122002122111 is 11122120022112.

21122002122111 is a `hidden beast` number, since 21 + 1 + 220 + 0 + 212 + 211 + 1 = 666.

It is not a de Polignac number, because 21122002122111 - 22 = 21122002122107 is a prime.

It is a super-2 number, since 2×211220021221112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122002122181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374123761 + ... + 374180213.

It is an arithmetic number, because the mean of its divisors is an integer number (545816466360).

Almost surely, 221122002122111 is an apocalyptic number.

21122002122111 is a deficient number, since it is larger than the sum of its proper divisors (13810251724929).

21122002122111 is a wasteful number, since it uses less digits than its factorization.

21122002122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85813 (or 85807 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122002122111 its reverse (11122120022112), we get a palindrome (32244122144223).

The spelling of 21122002122111 in words is "twenty-one trillion, one hundred twenty-two billion, two million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 43 99 129 297 387 473 1161 1419 4257 12771 29297 56453 87891 169359 263673 322267 508077 620983 791019 966801 1259771 1524231 1862949 2427479 2900403 3779313 5588847 7282437 8701209 11337939 13857481 16766541 21847311 26702269 34013817 41572443 65541933 80106807 124717329 240320421 374151987 720961263 1653903541 4961710623 14885131869 18192938951 44655395607 54578816853 71117852263 163736450559 213353556789 491209351677 640060670367 782296374893 1920182011101 2346889124679 7040667374037 21122002122111