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2031022132100 = 2252131562324717
BaseRepresentation
bin11101100011100010010…
…110100100101110000100
321012011102102110102222122
4131203202112210232010
5231234013131211400
64153012204545112
7266510423163623
oct35434226445604
97164372412878
102031022132100
11713396054895
12289761252198
131196a8615360
14704329676ba
1537c7170a685
hex1d8e25a4b84

2031022132100 has 36 divisors (see below), whose sum is σ = 4746342493284. Its totient is φ = 749915863680.

The previous prime is 2031022132099. The next prime is 2031022132103. The reversal of 2031022132100 is 12312201302.

It can be written as a sum of positive squares in 6 ways, for example, as 397283132416 + 1633738999684 = 630304^2 + 1278178^2 .

It is not an unprimeable number, because it can be changed into a prime (2031022132103) 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 11 ways as a sum of consecutive naturals, for example, 781161059 + ... + 781163658.

Almost surely, 22031022132100 is an apocalyptic number.

2031022132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031022132100 is an abundant number, since it is smaller than the sum of its proper divisors (2715320361184).

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

2031022132100 is a wasteful number, since it uses less digits than its factorization.

2031022132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562324744 (or 1562324737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2031022132100 its reverse (12312201302), we get a palindrome (2043334333402).

The spelling of 2031022132100 in words is "two trillion, thirty-one billion, twenty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1562324717 3124649434 6249298868 7811623585 15623247170 20310221321 31246494340 39058117925 40620442642 78116235850 81240885284 101551106605 156232471700 203102213210 406204426420 507755533025 1015511066050 2031022132100