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12011330331 = 32711131778427
BaseRepresentation
bin10110010111110111…
…00101101100011011
31011000002102210122100
423023323211230123
5144044400032311
65303512254443
7603436423530
oct131373455433
934002383570
1012011330331
1151040a0290
1223b26a1423
131195600a70
1481d32ad87
154a475ca56
hex2cbee5b1b

12011330331 has 96 divisors (see below), whose sum is σ = 24665292288. Its totient is φ = 5420805120.

The previous prime is 12011330327. The next prime is 12011330341. The reversal of 12011330331 is 13303311021.

It is a happy number.

12011330331 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 330 + 331 = 666.

It is not a de Polignac number, because 12011330331 - 22 = 12011330327 is a prime.

It is a super-2 number, since 2×120113303312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12011330341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113940 + ... + 192366.

It is an arithmetic number, because the mean of its divisors is an integer number (256930128).

Almost surely, 212011330331 is an apocalyptic number.

12011330331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12011330331 is an abundant number, since it is smaller than the sum of its proper divisors (12653961957).

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

12011330331 is a wasteful number, since it uses less digits than its factorization.

12011330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78481 (or 78478 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12011330331 its reverse (13303311021), we get a palindrome (25314641352).

The spelling of 12011330331 in words is "twelve billion, eleven million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 13 17 21 33 39 51 63 77 91 99 117 119 143 153 187 221 231 273 357 429 561 663 693 819 1001 1071 1287 1309 1547 1683 1989 2431 3003 3927 4641 7293 9009 11781 13923 17017 21879 51051 78427 153153 235281 548989 705843 862697 1019551 1333259 1646967 2588091 3058653 3999777 4940901 6038879 7136857 7764273 9175959 9332813 11215061 11999331 14665849 17332367 18116637 21410571 27998439 33645183 43997547 51997101 54349911 64231713 78505427 83995317 100935549 102660943 121326569 131992641 155991303 190656037 235516281 307982829 363979707 571968111 706548843 923948487 1091939121 1334592259 1715904333 4003776777 12011330331