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101232331133 = 509564135257
BaseRepresentation
bin101111001000111101…
…0101100100101111101
3100200022001111020202112
41132101322230211331
53124310434044013
6114301104103405
710212426421433
oct1362172544575
9320261436675
10101232331133
1139a2901478a
1217752604b65
139713c13c6b
144c849a8d53
15297750eba8
hex1791eac97d

101232331133 has 8 divisors (see below), whose sum is σ = 101452074360. Its totient is φ = 101012670720.

The previous prime is 101232331111. The next prime is 101232331159. The reversal of 101232331133 is 331133232101.

It can be written as a sum of positive squares in 4 ways, for example, as 29727966724 + 71504364409 = 172418^2 + 267403^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101232331133 - 234 = 84052461949 is a prime.

It is a super-2 number, since 2×1012323311332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101232331099 and 101232331108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232331103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2853641 + ... + 2888897.

It is an arithmetic number, because the mean of its divisors is an integer number (12681509295).

Almost surely, 2101232331133 is an apocalyptic number.

It is an amenable number.

101232331133 is a deficient number, since it is larger than the sum of its proper divisors (219743227).

101232331133 is an equidigital number, since it uses as much as digits as its factorization.

101232331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41407.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101232331133 its reverse (331133232101), we get a palindrome (432365563234).

The spelling of 101232331133 in words is "one hundred one billion, two hundred thirty-two million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 509 5641 35257 2871269 17945813 198884737 101232331133