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1131221553105 = 35725472813669
BaseRepresentation
bin10000011101100010000…
…011110000111111010001
311000010212202220222221110
4100131202003300333101
5122013220204144410
62223402003443533
7144504503356500
oct20354203607721
94003782828843
101131221553105
113a6826091a46
121632a39865a9
138289b26cb57
143ca73c52837
151e65b971720
hex107620f0fd1

1131221553105 has 48 divisors (see below), whose sum is σ = 2109307106880. Its totient is φ = 516184276608.

The previous prime is 1131221553103. The next prime is 1131221553113. The reversal of 1131221553105 is 5013551221311.

It is not a de Polignac number, because 1131221553105 - 21 = 1131221553103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1131221553103) 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 47 ways as a sum of consecutive naturals, for example, 1004790 + ... + 1808879.

It is an arithmetic number, because the mean of its divisors is an integer number (43943898060).

Almost surely, 21131221553105 is an apocalyptic number.

1131221553105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131221553105 is a deficient number, since it is larger than the sum of its proper divisors (978085553775).

1131221553105 is a wasteful number, since it uses less digits than its factorization.

1131221553105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814238 (or 2814231 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 1131221553105 its reverse (5013551221311), we get a palindrome (6144772774416).

The spelling of 1131221553105 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-one million, five hundred fifty-three thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 547 735 1641 2735 3829 8205 11487 19145 26803 57435 80409 134015 402045 2813669 8441007 14068345 19695683 42205035 59087049 98478415 137869781 295435245 413609343 689348905 1539076943 2068046715 4617230829 7695384715 10773538601 23086154145 32320615803 53867693005 75414770207 161603079015 226244310621 377073851035 1131221553105