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121131333 = 3288115277
BaseRepresentation
bin1110011100001…
…01000101000101
322102221002221200
413032011011011
5222002200313
620004133113
73000412401
oct716050505
9272832850
10121131333
1162414844
1234697199
131c131b5b
1412132101
15a97ab73
hex7385145

121131333 has 12 divisors (see below), whose sum is σ = 175177548. Its totient is φ = 80657280.

The previous prime is 121131323. The next prime is 121131349. The reversal of 121131333 is 333131121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15000129 + 106131204 = 3873^2 + 10302^2 .

It is not a de Polignac number, because 121131333 - 28 = 121131077 is a prime.

It is a super-3 number, since 3×1211313333 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121131323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 15567.

It is an arithmetic number, because the mean of its divisors is an integer number (14598129).

Almost surely, 2121131333 is an apocalyptic number.

It is an amenable number.

121131333 is a deficient number, since it is larger than the sum of its proper divisors (54046215).

121131333 is a wasteful number, since it uses less digits than its factorization.

121131333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16164 (or 16161 counting only the distinct ones).

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

The square root of 121131333 is about 11005.9680628285. The cubic root of 121131333 is about 494.7876285190.

Adding to 121131333 its reverse (333131121), we get a palindrome (454262454).

It can be divided in two parts, 1211313 and 33, that added together give a triangular number (1211346 = T1556).

The spelling of 121131333 in words is "one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 881 2643 7929 15277 45831 137493 13459037 40377111 121131333