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22121111202021 = 32131744412504329
BaseRepresentation
bin1010000011110011110001…
…11110011010100011100101
32220022202110021101212201200
411001321320332122203211
510344413013431431041
6115014144224313113
74442124520532256
oct501717076324345
986282407355650
1022121111202021
117059568639517
122593277472799
13c46020005b50
1456694b86ab2d
1528564a6641b6
hex141e78f9a8e5

22121111202021 has 48 divisors (see below), whose sum is σ = 36442990125360. Its totient is φ = 12809337200640.

The previous prime is 22121111202019. The next prime is 22121111202023. The reversal of 22121111202021 is 12020211112122.

22121111202021 is a `hidden beast` number, since 221 + 211 + 11 + 20 + 202 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22121111202019) and next prime (22121111202023).

It can be written as a sum of positive squares in 8 ways, for example, as 4499124600996 + 17621986601025 = 2121114^2 + 4197855^2 .

It is not a de Polignac number, because 22121111202021 - 21 = 22121111202019 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22121111201985 and 22121111202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121111202023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7580985 + ... + 10085313.

It is an arithmetic number, because the mean of its divisors is an integer number (759228960945).

Almost surely, 222121111202021 is an apocalyptic number.

It is an amenable number.

22121111202021 is a deficient number, since it is larger than the sum of its proper divisors (14321878923339).

22121111202021 is a wasteful number, since it uses less digits than its factorization.

22121111202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508806 (or 2508803 counting only the distinct ones).

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

Adding to 22121111202021 its reverse (12020211112122), we get a palindrome (34141322314143).

The spelling of 22121111202021 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, two hundred two thousand, twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 4441 13323 39969 57733 75497 173199 226491 519597 679473 981461 2504329 2944383 7512987 8833149 22538961 32556277 42573593 97668831 127720779 293006493 383162337 553456709 1660370127 4981110381 11121725089 33365175267 100095525801 144582426157 189069326513 433747278471 567207979539 1301241835413 1701623938617 2457901244669 7373703734007 22121111202021