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133211332431 = 341644584351
BaseRepresentation
bin111110000010000000…
…0111001111101001111
3110201211201121211120000
41330010000321331033
54140304100114211
6141110233055343
712424046433402
oct1740400717517
9421751554500
10133211332431
1151549362781
1221998257553
13c73c2b0538
146639ba3d39
1536e9c4e656
hex1f04039f4f

133211332431 has 10 divisors (see below), whose sum is σ = 198994706592. Its totient is φ = 88807554900.

The previous prime is 133211332411. The next prime is 133211332439. The reversal of 133211332431 is 134233112331.

133211332431 is a `hidden beast` number, since 1 + 3 + 321 + 1 + 332 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 133211332431 - 25 = 133211332399 is a prime.

It is a super-2 number, since 2×1332113324312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 133211332395 and 133211332404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211332439) 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 9 ways as a sum of consecutive naturals, for example, 822292095 + ... + 822292256.

Almost surely, 2133211332431 is an apocalyptic number.

133211332431 is a deficient number, since it is larger than the sum of its proper divisors (65783374161).

133211332431 is an equidigital number, since it uses as much as digits as its factorization.

133211332431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644584363 (or 1644584354 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 133211332431 its reverse (134233112331), we get a palindrome (267444444762).

The spelling of 133211332431 in words is "one hundred thirty-three billion, two hundred eleven million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 1644584351 4933753053 14801259159 44403777477 133211332431