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11331121233201 = 3711255719183603
BaseRepresentation
bin1010010011100011101101…
…1101001011110100110001
31111010020121022200011020020
42210320323131023310301
52441122114013430301
640033240100434053
72246434514214210
oct244707335136461
944106538604206
1011331121233201
113679557597350
1213300696a8929
1364269b9c1243
142b26019cb077
15149b3611e436
hexa4e3b74bd31

11331121233201 has 32 divisors (see below), whose sum is σ = 18843517068288. Its totient is φ = 5883994405440.

The previous prime is 11331121233181. The next prime is 11331121233253. The reversal of 11331121233201 is 10233212113311.

It is not a de Polignac number, because 11331121233201 - 214 = 11331121216817 is a prime.

It is a super-3 number, since 3×113311212332013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331121233101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9001135 + ... + 10182468.

It is an arithmetic number, because the mean of its divisors is an integer number (588859908384).

Almost surely, 211331121233201 is an apocalyptic number.

11331121233201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331121233201 is a deficient number, since it is larger than the sum of its proper divisors (7512395835087).

11331121233201 is a wasteful number, since it uses less digits than its factorization.

11331121233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19186181.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11331121233201 its reverse (10233212113311), we get a palindrome (21564333346512).

The spelling of 11331121233201 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 7 11 21 33 77 231 2557 7671 17899 28127 53697 84381 196889 590667 19183603 57550809 134285221 211019633 402855663 633058899 1477137431 4431412293 49052472871 147157418613 343367310097 539577201581 1030101930291 1618731604743 3777040411067 11331121233201