Search a number
-
+
21122120012022 = 2331726985534741
BaseRepresentation
bin1001100110101111000000…
…11101011101000011110110
32202210020212212020022102000
410303113200131131003312
510232031100210341042
6112531211252200130
74310010552526251
oct463274035350366
982706785208360
1021122120012022
1168039281044a7
122451737309046
13ba2a65a40503
1453045d3c6098
1526967c76e74c
hex1335e075d0f6

21122120012022 has 64 divisors (see below), whose sum is σ = 49883861534400. Its totient is φ = 6601913372160.

The previous prime is 21122120012011. The next prime is 21122120012027. The reversal of 21122120012022 is 22021002122112.

It is a happy number.

21122120012022 is a `hidden beast` number, since 211 + 221 + 200 + 12 + 0 + 22 = 666.

It is a super-2 number, since 2×211221200120222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21122120011986 and 21122120012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122120012027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42520429 + ... + 43014312.

It is an arithmetic number, because the mean of its divisors is an integer number (779435336475).

Almost surely, 221122120012022 is an apocalyptic number.

21122120012022 is an abundant number, since it is smaller than the sum of its proper divisors (28761741522378).

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

21122120012022 is a wasteful number, since it uses less digits than its factorization.

21122120012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85535038 (or 85535032 counting only the distinct ones).

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

Adding to 21122120012022 its reverse (22021002122112), we get a palindrome (43143122134134).

The spelling of 21122120012022 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 269 306 459 538 807 918 1614 2421 4573 4842 7263 9146 13719 14526 27438 41157 82314 123471 246942 85534741 171069482 256604223 513208446 769812669 1454090597 1539625338 2309438007 2908181194 4362271791 4618876014 8724543582 13086815373 23008845329 26173630746 39260446119 46017690658 69026535987 78520892238 138053071974 207079607961 391150370593 414159215922 621238823883 782300741186 1173451111779 1242477647766 2346902223558 3520353335337 7040706670674 10561060006011 21122120012022