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1111105339272 = 233215432018601
BaseRepresentation
bin10000001010110011000…
…010011111111110001000
310221012221211201110021200
4100022303002133332020
5121201020431324042
62210233523304200
7143163140360655
oct20126302377610
93835854643250
101111105339272
11399242aa7835
1215b40ab1b060
1380a13795746
143bac6358c2c
151dd808ebc4c
hex102b309ff88

1111105339272 has 24 divisors (see below), whose sum is σ = 3009243627390. Its totient is φ = 370368446400.

The previous prime is 1111105339181. The next prime is 1111105339273. The reversal of 1111105339272 is 2729335011111.

1111105339272 is a `hidden beast` number, since 1 + 1 + 1 + 110 + 533 + 9 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 700257670596 + 410847668676 = 836814^2 + 640974^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1111105339273) 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 5 ways as a sum of consecutive naturals, for example, 7716009229 + ... + 7716009372.

Almost surely, 21111105339272 is an apocalyptic number.

1111105339272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111105339272 is an abundant number, since it is smaller than the sum of its proper divisors (1898138288118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1111105339272 is a wasteful number, since it uses less digits than its factorization.

1111105339272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432018613 (or 15432018606 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 1111105339272 in words is "one trillion, one hundred eleven billion, one hundred five million, three hundred thirty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15432018601 30864037202 46296055803 61728074404 92592111606 123456148808 138888167409 185184223212 277776334818 370368446424 555552669636 1111105339272