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11070044070100 = 2252515321482717
BaseRepresentation
bin1010000100010111001000…
…0010110110000011010100
31110012021201101221002222221
42201011302002312003110
52422332422240220400
635313301423032124
72221533004022251
oct241056202660324
943167641832887
1011070044070100
113588863311554
1212a954743b644
13623b92a2b992
142a3b15d80428
15142e55ac2c1a
hexa11720b60d4

11070044070100 has 36 divisors (see below), whose sum is σ = 24026658500124. Its totient is φ = 4427158113280.

The previous prime is 11070044070089. The next prime is 11070044070143. The reversal of 11070044070100 is 107044007011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 245536106256 + 10824507963844 = 495516^2 + 3290062^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10226059 + ... + 11256658.

It is an arithmetic number, because the mean of its divisors is an integer number (667407180559).

Almost surely, 211070044070100 is an apocalyptic number.

11070044070100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11070044070100 is an abundant number, since it is smaller than the sum of its proper divisors (12956614430024).

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

11070044070100 is a wasteful number, since it uses less digits than its factorization.

11070044070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21487884 (or 21487877 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 11070044070100 its reverse (107044007011), we get a palindrome (11177088077111).

The spelling of 11070044070100 in words is "eleven trillion, seventy billion, forty-four million, seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5153 10306 20612 25765 51530 103060 128825 257650 515300 21482717 42965434 85930868 107413585 214827170 429654340 537067925 1074135850 2148271700 110700440701 221400881402 442801762804 553502203505 1107004407010 2214008814020 2767511017525 5535022035050 11070044070100