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202131812628 = 22327549743777
BaseRepresentation
bin1011110000111111111…
…1101011000100010100
3201022201220122222122200
42330033333223010110
511302431221001003
6232505202124500
720414005026114
oct2741777530424
9638656588580
10202131812628
11787a6158619
1233211650730
13160a3b98075
149ad728d044
1553d06c26a3
hex2f0ffeb114

202131812628 has 36 divisors (see below), whose sum is σ = 511012674900. Its totient is φ = 67368254976.

The previous prime is 202131812609. The next prime is 202131812629. The reversal of 202131812628 is 826218131202.

It is a happy number.

202131812628 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 3 + 18 + 12 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113715979524 + 88415833104 = 337218^2 + 297348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 202131812592 and 202131812601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131812629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100125 + ... + 643652.

It is an arithmetic number, because the mean of its divisors is an integer number (14194796525).

Almost surely, 2202131812628 is an apocalyptic number.

It is an amenable number.

202131812628 is an abundant number, since it is smaller than the sum of its proper divisors (308880862272).

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

202131812628 is a wasteful number, since it uses less digits than its factorization.

202131812628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751336 (or 751331 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 202131812628 in words is "two hundred two billion, one hundred thirty-one million, eight hundred twelve thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 7549 15098 22647 30196 45294 67941 90588 135882 271764 743777 1487554 2231331 2975108 4462662 6693993 8925324 13387986 26775972 5614772573 11229545146 16844317719 22459090292 33688635438 50532953157 67377270876 101065906314 202131812628