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21222012210021 = 347172201681939
BaseRepresentation
bin1001101001101001000100…
…11111111100101101100101
32210010210201112000202010000
410310310202133330231211
510240200140111210041
6113045131404451513
74320145150306230
oct464644237745545
983123645022100
1021222012210021
1168422286aa337
122468b74b49b99
13bac2c510718c
14535217dc4417
1526c0772b2bb6
hex134d227fcb65

21222012210021 has 40 divisors (see below), whose sum is σ = 38362106122560. Its totient is φ = 11413519166592.

The previous prime is 21222012209999. The next prime is 21222012210029. The reversal of 21222012210021 is 12001221022212.

It is a happy number.

21222012210021 is a `hidden beast` number, since 212 + 220 + 1 + 2 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 21222012210021 - 215 = 21222012177253 is a prime.

It is a super-2 number, since 2×212220122100212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21222012209976 and 21222012210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222012210029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1100831331 + ... + 1100850608.

It is an arithmetic number, because the mean of its divisors is an integer number (959052653064).

Almost surely, 221222012210021 is an apocalyptic number.

21222012210021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21222012210021 is a deficient number, since it is larger than the sum of its proper divisors (17140093912539).

21222012210021 is a wasteful number, since it uses less digits than its factorization.

21222012210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201681975 (or 2201681966 counting only the distinct ones).

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

Adding to 21222012210021 its reverse (12001221022212), we get a palindrome (33223233232233).

The spelling of 21222012210021 in words is "twenty-one trillion, two hundred twenty-two billion, twelve million, two hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 459 567 1071 1377 3213 9639 2201681939 6605045817 15411773573 19815137451 37428592963 46235320719 59445412353 112285778889 138705962157 178336237059 262000150741 336857336667 416117886471 786000452223 1010572010001 1248353659413 2358001356669 3031716030003 7074004070007 21222012210021