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11742510001221 = 332353118482333
BaseRepresentation
bin1010101011100000010000…
…1000110010110001000101
31112120120110201012212221000
42222320010020302301011
53014342130030014341
640550233513443513
72321240226102426
oct252700410626105
945516421185830
1011742510001221
113817a7485071a
12139793aa10599
13672410964c6c
142c84aa53d64d
151556b279c8b6
hexaae04232c45

11742510001221 has 16 divisors (see below), whose sum is σ = 17397051347520. Its totient is φ = 7828006895280.

The previous prime is 11742510001177. The next prime is 11742510001223. The reversal of 11742510001221 is 12210001524711.

11742510001221 is a `hidden beast` number, since 1 + 1 + 7 + 425 + 10 + 0 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 11742510001221 - 210 = 11742510000197 is a prime.

It is a super-2 number, since 2×117425100012212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742510001223) 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 15 ways as a sum of consecutive naturals, for example, 8605830 + ... + 9876503.

It is an arithmetic number, because the mean of its divisors is an integer number (1087315709220).

Almost surely, 211742510001221 is an apocalyptic number.

It is an amenable number.

11742510001221 is a deficient number, since it is larger than the sum of its proper divisors (5654541346299).

11742510001221 is a wasteful number, since it uses less digits than its factorization.

11742510001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18505873 (or 18505867 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 11742510001221 its reverse (12210001524711), we get a palindrome (23952511525932).

The spelling of 11742510001221 in words is "eleven trillion, seven hundred forty-two billion, five hundred ten million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 23531 70593 211779 635337 18482333 55446999 166340997 499022991 434907777823 1304723333469 3914170000407 11742510001221