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11311004442132 = 22322931072336409
BaseRepresentation
bin1010010010011000110001…
…1001101101111000010100
31111001022200100101021202100
42210212030121231320110
52440304414114122012
640020112000042100
72245123143262443
oct244461431557024
944038610337670
1011311004442132
113670a7414848a
121328194603330
13640814074185
142b1653dc2d5a
15149359ed38dc
hexa498c66de14

11311004442132 has 36 divisors (see below), whose sum is σ = 28689288313140. Its totient is φ = 3757466773632.

The previous prime is 11311004442121. The next prime is 11311004442161. The reversal of 11311004442132 is 23124440011311.

It is a happy number.

11311004442132 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 0 + 0 + 444 + 213 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8530161374736 + 2780843067396 = 2920644^2 + 1667586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11311004442096 and 11311004442105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536157657 + ... + 536178752.

It is an arithmetic number, because the mean of its divisors is an integer number (796924675365).

Almost surely, 211311004442132 is an apocalyptic number.

11311004442132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11311004442132 is an abundant number, since it is smaller than the sum of its proper divisors (17378283871008).

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

11311004442132 is a wasteful number, since it uses less digits than its factorization.

11311004442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072336712 (or 1072336707 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11311004442132 its reverse (23124440011311), we get a palindrome (34435444453443).

The spelling of 11311004442132 in words is "eleven trillion, three hundred eleven billion, four million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 10548 1072336409 2144672818 3217009227 4289345636 6434018454 9651027681 12868036908 19302055362 38604110724 314194567837 628389135674 942583703511 1256778271348 1885167407022 2827751110533 3770334814044 5655502221066 11311004442132