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222101121132 = 2232112324385279
BaseRepresentation
bin1100111011011001000…
…0100010100001101100
3210020021121102222002100
43032312100202201230
512114330341334012
6250010513455100
722021605244332
oct3166620424154
9706247388070
10222101121132
1186213324670
1237065271490
1317c370b8047
14aa6d465b52
155b9d8c98dc
hex33b642286c

222101121132 has 72 divisors (see below), whose sum is σ = 639089418240. Its totient is φ = 64377133920.

The previous prime is 222101121131. The next prime is 222101121217. The reversal of 222101121132 is 231121101222.

It is a super-2 number, since 2×2221011211322 (a number of 23 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 (222101121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12183532 + ... + 12201747.

It is an arithmetic number, because the mean of its divisors is an integer number (8876241920).

Almost surely, 2222101121132 is an apocalyptic number.

222101121132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222101121132 is an abundant number, since it is smaller than the sum of its proper divisors (416988297108).

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

222101121132 is a wasteful number, since it uses less digits than its factorization.

222101121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24385323 (or 24385318 counting only the distinct ones).

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

Adding to 222101121132 its reverse (231121101222), we get a palindrome (453222222354).

The spelling of 222101121132 in words is "two hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 24385279 48770558 73155837 97541116 146311674 219467511 268238069 292623348 438935022 536476138 560861417 804714207 877870044 1072952276 1121722834 1609428414 1682584251 2243445668 2414142621 3218856828 3365168502 4828285242 5047752753 6169475587 6730337004 9656570484 10095505506 12338951174 18508426761 20191011012 24677902348 37016853522 55525280283 74033707044 111050560566 222101121132