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101012221020 = 22351683537017
BaseRepresentation
bin101111000010011001…
…1000010110001011100
3100122201201022111110010
41132010303002301130
53123333112033040
6114223202243220
710204114466124
oct1360463026134
9318651274403
10101012221020
11399258467a7
12176b0956510
1396aa4383a9
144c6366dc84
152963031e80
hex1784cc2c5c

101012221020 has 24 divisors (see below), whose sum is σ = 282834219024. Its totient is φ = 26936592256.

The previous prime is 101012220949. The next prime is 101012221133. The reversal of 101012221020 is 20122210101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101012220987 and 101012221005.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 841768449 + ... + 841768568.

It is an arithmetic number, because the mean of its divisors is an integer number (11784759126).

Almost surely, 2101012221020 is an apocalyptic number.

101012221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012221020 is an abundant number, since it is smaller than the sum of its proper divisors (181821998004).

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

101012221020 is a wasteful number, since it uses less digits than its factorization.

101012221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683537029 (or 1683537027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012221020 its reverse (20122210101), we get a palindrome (121134431121).

The spelling of 101012221020 in words is "one hundred one billion, twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1683537017 3367074034 5050611051 6734148068 8417685085 10101222102 16835370170 20202444204 25253055255 33670740340 50506110510 101012221020