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133233044241 = 311125916012003
BaseRepresentation
bin111110000010101001…
…1101110101100010001
3110201220020110220120010
41330011103232230101
54140330124403431
6141112330305133
712424432122213
oct1740523565421
9421806426503
10133233044241
115155a642120
12219a35881a9
13c743942b6b
14663ca165b3
1536ebadc846
hex1f054eeb11

133233044241 has 32 divisors (see below), whose sum is σ = 194165475840. Its totient is φ = 80592512000.

The previous prime is 133233044239. The next prime is 133233044261. The reversal of 133233044241 is 142440332331.

It is a happy number.

It is not a de Polignac number, because 133233044241 - 21 = 133233044239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133233044199 and 133233044208.

It is not an unprimeable number, because it can be changed into a prime (133233044201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66515746 + ... + 66517748.

It is an arithmetic number, because the mean of its divisors is an integer number (6067671120).

Almost surely, 2133233044241 is an apocalyptic number.

133233044241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133233044241 is a deficient number, since it is larger than the sum of its proper divisors (60932431599).

133233044241 is a wasteful number, since it uses less digits than its factorization.

133233044241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 133233044241 its reverse (142440332331), we get a palindrome (275673376572).

The spelling of 133233044241 in words is "one hundred thirty-three billion, two hundred thirty-three million, forty-four thousand, two hundred forty-one".

Divisors: 1 3 11 33 1259 1601 2003 3777 4803 6009 13849 17611 22033 41547 52833 66099 2015659 2521777 3206803 6046977 7565331 9620409 22172249 27739547 35274833 66516747 83218641 105824499 4037364977 12112094931 44411014747 133233044241