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133332146431 = 1179530328933
BaseRepresentation
bin111110000101100110…
…1110001100011111111
3110202011010221211012121
41330023031301203333
54141031012141211
6141130230343411
712430044354661
oct1741315614377
9422133854177
10133332146431
1151600580060
1221a107bab67
13c75b330b03
14664bc52531
153705666271
hex1f0b3718ff

133332146431 has 16 divisors (see below), whose sum is σ = 147327298560. Its totient is φ = 119650021920.

The previous prime is 133332146399. The next prime is 133332146501. The reversal of 133332146431 is 134641233331.

It is not a de Polignac number, because 133332146431 - 25 = 133332146399 is a prime.

It is a super-2 number, since 2×1333321464312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133332143431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4593841 + ... + 4622773.

It is an arithmetic number, because the mean of its divisors is an integer number (9207956160).

Almost surely, 2133332146431 is an apocalyptic number.

133332146431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133332146431 is a deficient number, since it is larger than the sum of its proper divisors (13995152129).

133332146431 is a wasteful number, since it uses less digits than its factorization.

133332146431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34326.

The product of its digits is 46656, while the sum is 34.

Adding to 133332146431 its reverse (134641233331), we get a palindrome (267973379762).

The spelling of 133332146431 in words is "one hundred thirty-three billion, three hundred thirty-two million, one hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 11 79 869 5303 28933 58333 318263 418937 2285707 4608307 25142777 153431699 1687748689 12121104221 133332146431