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11322202100031 = 323759576281473
BaseRepresentation
bin1010010011000010011111…
…0101011001000100111111
31111002101120201202020122200
42210300213311121010333
52441000332214200111
640025203044442543
72246000502636414
oct244604765310477
944071521666580
1011322202100031
11367579aa09609
12132a39a6a9453
136418a9c15a54
142b1dd722610b
151497b30b8256
hexa4c27d5913f

11322202100031 has 24 divisors (see below), whose sum is σ = 17080982889360. Its totient is φ = 7219654281216.

The previous prime is 11322202100023. The next prime is 11322202100047. The reversal of 11322202100031 is 13000120222311.

11322202100031 is a `hidden beast` number, since 11 + 322 + 202 + 100 + 0 + 31 = 666.

It is not a de Polignac number, because 11322202100031 - 23 = 11322202100023 is a prime.

It is a super-2 number, since 2×113222021000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11322202099977 and 11322202100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322202100431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288121090 + ... + 288160383.

It is an arithmetic number, because the mean of its divisors is an integer number (711707620390).

Almost surely, 211322202100031 is an apocalyptic number.

11322202100031 is a deficient number, since it is larger than the sum of its proper divisors (5758780789329).

11322202100031 is a wasteful number, since it uses less digits than its factorization.

11322202100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576281575 (or 576281572 counting only the distinct ones).

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

Adding to 11322202100031 its reverse (13000120222311), we get a palindrome (24322322322342).

The spelling of 11322202100031 in words is "eleven trillion, three hundred twenty-two billion, two hundred two million, one hundred thousand, thirty-one".

Divisors: 1 3 9 37 59 111 177 333 531 2183 6549 19647 576281473 1728844419 5186533257 21322414501 34000606907 63967243503 102001820721 191901730509 306005462163 1258022455559 3774067366677 11322202100031