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21022122011112 = 23321823160161227
BaseRepresentation
bin1001100011110100110000…
…00111010110100111101000
32202102200202211100112101200
410301322120013112213220
510223411301213323422
6112413232440044200
74266540531535065
oct461723007264750
982380684315350
1021022122011112
116775482914342
12243628a163660
13b964ba780981
14529694725c6c
15266c787cc2ac
hex131e981d69e8

21022122011112 has 48 divisors (see below), whose sum is σ = 56966145575040. Its totient is φ = 7003530090528.

The previous prime is 21022122011081. The next prime is 21022122011119. The reversal of 21022122011112 is 21111022122012.

21022122011112 is a `hidden beast` number, since 210 + 221 + 220 + 1 + 1 + 1 + 12 = 666.

It is a super-2 number, since 2×210221220111122 (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 not an unprimeable number, because it can be changed into a prime (21022122011119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79949358 + ... + 80211869.

It is an arithmetic number, because the mean of its divisors is an integer number (1186794699480).

Almost surely, 221022122011112 is an apocalyptic number.

It is an amenable number.

21022122011112 is an abundant number, since it is smaller than the sum of its proper divisors (35944023563928).

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

21022122011112 is a wasteful number, since it uses less digits than its factorization.

21022122011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160163062 (or 160163055 counting only the distinct ones).

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

Adding to 21022122011112 its reverse (21111022122012), we get a palindrome (42133144133124).

The spelling of 21022122011112 in words is "twenty-one trillion, twenty-two billion, one hundred twenty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1823 3646 5469 7292 10938 14584 16407 21876 32814 43752 65628 131256 160161227 320322454 480483681 640644908 960967362 1281289816 1441451043 1921934724 2882902086 3843869448 5765804172 11531608344 291973916821 583947833642 875921750463 1167895667284 1751843500926 2335791334568 2627765251389 3503687001852 5255530502778 7007374003704 10511061005556 21022122011112