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1100115543345 = 357131793944927
BaseRepresentation
bin10000000000100011111…
…111110000010100110001
310220011120221110222101220
4100000203333300110301
5121011014034341340
62201215222015253
7142323613554420
oct20004377602461
93804527428356
101100115543345
113946135a9465
12159262577529
137c981a01810
143b3629832b7
151d93abc5ed0
hex10023ff0531

1100115543345 has 64 divisors (see below), whose sum is σ = 2166550364160. Its totient is φ = 464188370688.

The previous prime is 1100115543341. The next prime is 1100115543361. The reversal of 1100115543345 is 5433455110011.

It is a happy number.

It is not a de Polignac number, because 1100115543345 - 22 = 1100115543341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100115543341) 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 63 ways as a sum of consecutive naturals, for example, 24464272 + ... + 24509198.

It is an arithmetic number, because the mean of its divisors is an integer number (33852349440).

Almost surely, 21100115543345 is an apocalyptic number.

1100115543345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1100115543345 is a deficient number, since it is larger than the sum of its proper divisors (1066434820815).

1100115543345 is a wasteful number, since it uses less digits than its factorization.

1100115543345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62894.

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 1100115543345 in words is "one trillion, one hundred billion, one hundred fifteen million, five hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 17939 44927 53817 89695 125573 134781 224635 233207 269085 314489 376719 584051 627865 673905 699621 943467 1166035 1572445 1632449 1752153 1883595 2920255 3498105 4088357 4717335 4897347 8162245 8760765 12265071 20441785 24486735 61325355 805945453 2417836359 4029727265 5641618171 10477290889 12089181795 16924854513 28208090855 31431872667 52386454445 73341036223 84624272565 157159363335 220023108669 366705181115 1100115543345