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132333120031 = 727152173009
BaseRepresentation
bin111101100111110101…
…0110010101000011111
3110122120112010000121211
41323033222302220133
54132004234320111
6140443142005251
712363223650400
oct1731752625037
9418515100554
10132333120031
1151138661802
1221792116827
13c62c374b28
1465952b99a7
153697ac8521
hex1ecfab2a1f

132333120031 has 24 divisors (see below), whose sum is σ = 156408446880. Its totient is φ = 111614630400.

The previous prime is 132333119981. The next prime is 132333120037. The reversal of 132333120031 is 130021333231.

It is not a de Polignac number, because 132333120031 - 27 = 132333119903 is a prime.

It is a super-2 number, since 2×1323331200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132333119984 and 132333120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132333120037) 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 23 ways as a sum of consecutive naturals, for example, 1776055 + ... + 1849063.

It is an arithmetic number, because the mean of its divisors is an integer number (6517018620).

Almost surely, 2132333120031 is an apocalyptic number.

132333120031 is a deficient number, since it is larger than the sum of its proper divisors (24075326849).

132333120031 is an equidigital number, since it uses as much as digits as its factorization.

132333120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73615 (or 73608 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 132333120031 its reverse (130021333231), we get a palindrome (262354453262).

The spelling of 132333120031 in words is "one hundred thirty-two billion, three hundred thirty-three million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 49 71 497 521 3479 3647 25529 36991 73009 258937 511063 1812559 3577441 5183639 36285473 38037689 253998311 266263823 1863846761 2700675919 18904731433 132333120031