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12033133220331 = 34728832038297
BaseRepresentation
bin1010111100011010111010…
…1000011001000111101011
31120121100121202002002110000
42233012232220121013223
53034122324101022311
641331540045554043
72351236154516346
oct257065650310753
946540552062400
1012033133220331
11391a24aaaa723
121424127b75923
13693947c416c2
142d859a1cb45d
1515d021b56056
hexaf1aea191eb

12033133220331 has 20 divisors (see below), whose sum is σ = 17975676683272. Its totient is φ = 8021974809888.

The previous prime is 12033133220293. The next prime is 12033133220369. The reversal of 12033133220331 is 13302233133021.

12033133220331 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 3 + 1 + 3 + 322 + 0 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (12033133220293) and next prime (12033133220369).

It is not a de Polignac number, because 12033133220331 - 27 = 12033133220203 is a prime.

It is a super-2 number, since 2×120331332203312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12033133220295 and 12033133220304.

It is not an unprimeable number, because it can be changed into a prime (12033133220131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4884375 + ... + 6922671.

Almost surely, 212033133220331 is an apocalyptic number.

12033133220331 is a deficient number, since it is larger than the sum of its proper divisors (5942543462941).

12033133220331 is an equidigital number, since it uses as much as digits as its factorization.

12033133220331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111192 (or 2111183 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12033133220331 its reverse (13302233133021), we get a palindrome (25335366353352).

The spelling of 12033133220331 in words is "twelve trillion, thirty-three billion, one hundred thirty-three million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 72883 218649 655947 1967841 2038297 5903523 6114891 18344673 55034019 165102057 148557200251 445671600753 1337014802259 4011044406777 12033133220331