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11331121029975 = 3252173195560793
BaseRepresentation
bin1010010011100011101101…
…1100011010001101010111
31111010020121022021211110100
42210320323130122031113
52441122113440424400
640033240052225143
72246434512406545
oct244707334321527
944106538254410
1011331121029975
11367955746869a
12133006960b1b3
1364269b94c8a6
142b2601976d95
15149b360ce100
hexa4e3b71a357

11331121029975 has 72 divisors (see below), whose sum is σ = 22182335989632. Its totient is φ = 5504301619200.

The previous prime is 11331121029961. The next prime is 11331121029997. The reversal of 11331121029975 is 57992012113311.

11331121029975 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 21 + 0 + 299 + 7 + 5 = 666.

It is not a de Polignac number, because 11331121029975 - 24 = 11331121029959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11331121029975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47661822 + ... + 47898971.

It is an arithmetic number, because the mean of its divisors is an integer number (308087999856).

Almost surely, 211331121029975 is an apocalyptic number.

11331121029975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11331121029975 is a deficient number, since it is larger than the sum of its proper divisors (10851214959657).

11331121029975 is a wasteful number, since it uses less digits than its factorization.

11331121029975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95560857 (or 95560849 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 11331121029975 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, twenty-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 31 45 51 75 85 93 153 155 225 255 279 425 465 527 765 775 1275 1395 1581 2325 2635 3825 4743 6975 7905 13175 23715 39525 118575 95560793 286682379 477803965 860047137 1433411895 1624533481 2389019825 2962384583 4300235685 4873600443 7167059475 8122667405 8887153749 14620801329 14811922915 21501178425 24368002215 26661461247 40613337025 44435768745 50360537911 73104006645 74059614575 121840011075 133307306235 151081613733 222178843725 251802689555 365520033225 453244841199 666536531175 755408068665 1259013447775 2266224205995 3777040343325 11331121029975