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101131332221 = 433736305339
BaseRepresentation
bin101111000101111100…
…1011010101001111101
3100200001000102222022002
41132023321122221331
53124104110112341
6114243055232045
710210062066113
oct1361371325175
9320030388262
10101131332221
1139987000807
1217724818625
1396c90108aa
144c753d7ab3
15296d70e29b
hex178be5aa7d

101131332221 has 8 divisors (see below), whose sum is σ = 103760675040. Its totient is φ = 98514600912.

The previous prime is 101131332191. The next prime is 101131332233. The reversal of 101131332221 is 122233131101.

It is a happy number.

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 101131332221 - 218 = 101131070077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101131332193 and 101131332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131302221) 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 7 ways as a sum of consecutive naturals, for example, 3136631 + ... + 3168708.

It is an arithmetic number, because the mean of its divisors is an integer number (12970084380).

Almost surely, 2101131332221 is an apocalyptic number.

It is an amenable number.

101131332221 is a deficient number, since it is larger than the sum of its proper divisors (2629342819).

101131332221 is an equidigital number, since it uses as much as digits as its factorization.

101131332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305755.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101131332221 its reverse (122233131101), we get a palindrome (223364463322).

The spelling of 101131332221 in words is "one hundred one billion, one hundred thirty-one million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 43 373 16039 6305339 271129577 2351891447 101131332221