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101222121234 = 23135059256517
BaseRepresentation
bin101111001000101001…
…1101111111100010010
3100200021100021112102010
41132101103233330102
53124300330334414
6114300101203350
710212243556113
oct1362123577422
9320240245363
10101222121234
1139a23280953
121774b100556
139711a7a9c0
144c834ac20a
152976694959
hex17914eff12

101222121234 has 32 divisors (see below), whose sum is σ = 218060821440. Its totient is φ = 31138990272.

The previous prime is 101222121233. The next prime is 101222121277. The reversal of 101222121234 is 432121222101.

It is a happy number.

It is a super-2 number, since 2×1012221212342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101222121234.

It is not an unprimeable number, because it can be changed into a prime (101222121233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266344 + ... + 522860.

It is an arithmetic number, because the mean of its divisors is an integer number (6814400670).

Almost surely, 2101222121234 is an apocalyptic number.

101222121234 is an abundant number, since it is smaller than the sum of its proper divisors (116838700206).

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

101222121234 is a wasteful number, since it uses less digits than its factorization.

101222121234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261594.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101222121234 its reverse (432121222101), we get a palindrome (533343343335).

The spelling of 101222121234 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 5059 10118 15177 30354 65767 131534 197301 256517 394602 513034 769551 1539102 3334721 6669442 10004163 20008326 1297719503 2595439006 3893158509 7786317018 16870353539 33740707078 50611060617 101222121234