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101031112321 = 1071815216663
BaseRepresentation
bin101111000010111101…
…1000110111010000001
3100122210000212021102221
41132011323012322001
53123402431043241
6114225115211041
710204434166606
oct1360573067201
9318700767387
10101031112321
113993547a047
12176b7146a81
1396b1320c89
144c65d8a6ad
152964a145d1
hex1785ec6e81

101031112321 has 8 divisors (see below), whose sum is σ = 102538747584. Its totient is φ = 99533910960.

The previous prime is 101031112307. The next prime is 101031112333. The reversal of 101031112321 is 123211130101.

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 101031112321 - 25 = 101031112289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101031112295 and 101031112304.

It is not an unprimeable number, because it can be changed into a prime (101031112381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588965 + ... + 2627698.

It is an arithmetic number, because the mean of its divisors is an integer number (12817343448).

Almost surely, 2101031112321 is an apocalyptic number.

It is an amenable number.

101031112321 is a deficient number, since it is larger than the sum of its proper divisors (1507635263).

101031112321 is a wasteful number, since it uses less digits than its factorization.

101031112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216951.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101031112321 its reverse (123211130101), we get a palindrome (224242242422).

The spelling of 101031112321 in words is "one hundred one billion, thirty-one million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 107 181 19367 5216663 558182941 944216003 101031112321