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101222132301 = 336091615493
BaseRepresentation
bin101111001000101001…
…1110010101001001101
3100200021100022002121000
41132101103302221031
53124300331213201
6114300101330513
710212243633303
oct1362123625115
9320240262530
10101222132301
1139a232891a4
121774b106a39
139711a82a54
144c834b2273
152976697d86
hex17914f2a4d

101222132301 has 16 divisors (see below), whose sum is σ = 149983577920. Its totient is φ = 67470233040.

The previous prime is 101222132273. The next prime is 101222132303. The reversal of 101222132301 is 103231222101.

101222132301 is a `hidden beast` number, since 10 + 1 + 222 + 132 + 301 = 666.

It is not a de Polignac number, because 101222132301 - 210 = 101222131277 is a prime.

It is a super-2 number, since 2×1012221323012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222132303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143290 + ... + 472203.

It is an arithmetic number, because the mean of its divisors is an integer number (9373973620).

Almost surely, 2101222132301 is an apocalyptic number.

It is an amenable number.

101222132301 is a deficient number, since it is larger than the sum of its proper divisors (48761445619).

101222132301 is an equidigital number, since it uses as much as digits as its factorization.

101222132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621593 (or 621587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101222132301 its reverse (103231222101), we get a palindrome (204453354402).

The spelling of 101222132301 in words is "one hundred one billion, two hundred twenty-two million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 27 6091 18273 54819 164457 615493 1846479 5539437 16618311 3748967863 11246903589 33740710767 101222132301