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12002331 = 311401907
BaseRepresentation
bin101101110010…
…010000011011
3211120210002210
4231302100123
511033033311
61105130203
7204006135
oct55622033
924523083
1012002331
116858590
124029963
132643093
141846055
1510c13a6
hexb7241b

12002331 has 16 divisors (see below), whose sum is σ = 17520768. Its totient is φ = 7248000.

The previous prime is 12002329. The next prime is 12002339. The reversal of 12002331 is 13320021.

It is a happy number.

12002331 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002331 - 21 = 12002329 is a prime.

It is a super-2 number, since 2×120023312 = 288111898867122, which contains 22 as substring.

12002331 is a modest number, since divided by 2331 gives 12 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12002339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12780 + ... + 13686.

It is an arithmetic number, because the mean of its divisors is an integer number (1095048).

Almost surely, 212002331 is an apocalyptic number.

12002331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002331 is a deficient number, since it is larger than the sum of its proper divisors (5518437).

12002331 is a wasteful number, since it uses less digits than its factorization.

12002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12002331 is about 3464.4380496698. The cubic root of 12002331 is about 228.9576716004.

Adding to 12002331 its reverse (13320021), we get a palindrome (25322352).

The spelling of 12002331 in words is "twelve million, two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 401 907 1203 2721 4411 9977 13233 29931 363707 1091121 4000777 12002331