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100131333221 = 234353536227
BaseRepresentation
bin101110101000001001…
…0101110010001100101
3100120110022202202120002
41131100102232101211
53120032110130341
6113555533551045
710143230201123
oct1352022562145
9316408682502
10100131333221
1139513588757
12174a5945485
139599aa3cca
144bbc68a913
152910a2d29b
hex17504ae465

100131333221 has 4 divisors (see below), whose sum is σ = 104484869472. Its totient is φ = 95777796972.

The previous prime is 100131333193. The next prime is 100131333223. The reversal of 100131333221 is 122333131001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 122333131001 = 233525034897.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100131333221 is a prime.

It is a super-2 number, since 2×1001313332212 (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 = 100131333193 and 100131333202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131333223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2176768091 + ... + 2176768136.

It is an arithmetic number, because the mean of its divisors is an integer number (26121217368).

Almost surely, 2100131333221 is an apocalyptic number.

It is an amenable number.

100131333221 is a deficient number, since it is larger than the sum of its proper divisors (4353536251).

100131333221 is an equidigital number, since it uses as much as digits as its factorization.

100131333221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353536250.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100131333221 its reverse (122333131001), we get a palindrome (222464464222).

The spelling of 100131333221 in words is "one hundred billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 23 4353536227 100131333221