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1122100202331 = 33972203194483
BaseRepresentation
bin10000010101000010011…
…000100100101101011011
310222021100002111100222000
4100111002120210231123
5121341030122433311
62215252525332043
7144032455230213
oct20250230445533
93867302440860
101122100202331
113a2975347119
12161579107023
1381a76611b84
143c44a68d243
151e2c5cc4056
hex10542624b5b

1122100202331 has 32 divisors (see below), whose sum is σ = 1680279525120. Its totient is φ = 740014900992.

The previous prime is 1122100202329. The next prime is 1122100202359. The reversal of 1122100202331 is 1332020012211.

1122100202331 is a `hidden beast` number, since 1 + 122 + 10 + 0 + 202 + 331 = 666.

It is not a de Polignac number, because 1122100202331 - 21 = 1122100202329 is a prime.

It is a super-3 number, since 3×11221002023313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1122100242331) 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 31 ways as a sum of consecutive naturals, for example, 5672416 + ... + 5866898.

It is an arithmetic number, because the mean of its divisors is an integer number (52508735160).

Almost surely, 21122100202331 is an apocalyptic number.

1122100202331 is a deficient number, since it is larger than the sum of its proper divisors (558179322789).

1122100202331 is a wasteful number, since it uses less digits than its factorization.

1122100202331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196792 (or 196786 counting only the distinct ones).

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

Adding to 1122100202331 its reverse (1332020012211), we get a palindrome (2454120214542).

The spelling of 1122100202331 in words is "one trillion, one hundred twenty-two billion, one hundred million, two hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 97 291 873 2203 2619 6609 19827 59481 194483 213691 583449 641073 1750347 1923219 5251041 5769657 18864851 56594553 169783659 428446049 509350977 1285338147 3856014441 11568043323 41559266753 124677800259 374033400777 1122100202331