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22121112132 = 22327223545231
BaseRepresentation
bin10100100110100001…
…010110001001000100
32010002122202221002100
4110212201112021010
5330301001042012
614055020112100
71412116231200
oct244641261104
963078687070
1022121112132
119421877a59
124354395630
132116c78182
1410dbca9b00
158970a38dc
hex526856244

22121112132 has 108 divisors (see below), whose sum is σ = 67874841216. Its totient is φ = 6045510240.

The previous prime is 22121112119. The next prime is 22121112133. The reversal of 22121112132 is 23121112122.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22121112133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232044 + ... + 313187.

It is an arithmetic number, because the mean of its divisors is an integer number (628470752).

Almost surely, 222121112132 is an apocalyptic number.

It is an amenable number.

22121112132 is an abundant number, since it is smaller than the sum of its proper divisors (45753729084).

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

22121112132 is a wasteful number, since it uses less digits than its factorization.

22121112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545278 (or 545266 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22121112132 its reverse (23121112122), we get a palindrome (45242224254).

The spelling of 22121112132 in words is "twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 4508 5796 6762 10143 13524 20286 40572 545231 1090462 1635693 2180924 3271386 3816617 4907079 6542772 7633234 9814158 11449851 12540313 15266468 19628316 22899702 25080626 26716319 34349553 37620939 45799404 50161252 53432638 68699106 75241878 80148957 87782191 106865276 112862817 137398212 150483756 160297914 175564382 225725634 240446871 263346573 320595828 351128764 451451268 480893742 526693146 614475337 790039719 961787484 1053386292 1228950674 1580079438 1843426011 2457901348 3160158876 3686852022 5530278033 7373704044 11060556066 22121112132