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101022231112 = 23112809129001
BaseRepresentation
bin101111000010101100…
…1001110101001001000
3100122202102011001201021
41132011121032221020
53123343142343422
6114224201002224
710204265540065
oct1360531165110
9318672131637
10101022231112
1139930463500
12176b4183374
1396ac53171a
144c64b17c6c
152963d5cdc7
hex178564ea48

101022231112 has 48 divisors (see below), whose sum is σ = 208460781900. Its totient is φ = 45862080000.

The previous prime is 101022231097. The next prime is 101022231143. The reversal of 101022231112 is 211132220101.

It can be written as a sum of positive squares in 2 ways, for example, as 98378831716 + 2643399396 = 313654^2 + 51414^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 718612 + ... + 847612.

Almost surely, 2101022231112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104230390950).

101022231112 is an abundant number, since it is smaller than the sum of its proper divisors (107438550788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101022231112 is a wasteful number, since it uses less digits than its factorization.

101022231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129838 (or 129823 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101022231112 its reverse (211132220101), we get a palindrome (312154451213).

The spelling of 101022231112 in words is "one hundred one billion, twenty-two million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 809 968 1618 3236 6472 8899 17798 35596 71192 97889 129001 195778 258002 391556 516004 783112 1032008 1419011 2838022 5676044 11352088 15609121 31218242 62436484 104361809 124872968 208723618 417447236 834894472 1147979899 2295959798 4591919596 9183839192 12627778889 25255557778 50511115556 101022231112