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2101212212021 = 131301473326249
BaseRepresentation
bin11110100100111010000…
…000011110101100110101
321102212121002110221111022
4132210322000132230311
5233411240311241041
64245141125550525
7304543666053266
oct36447200365465
97385532427438
102101212212021
117401345737aa
1229b28b875445
131231b3252920
14739b08dc96d
15399cd86624b
hex1e93a01eb35

2101212212021 has 16 divisors (see below), whose sum is σ = 2265147990000. Its totient is φ = 1937606361600.

The previous prime is 2101212212017. The next prime is 2101212212053. The reversal of 2101212212021 is 1202122121012.

It can be written as a sum of positive squares in 8 ways, for example, as 670523511025 + 1430688700996 = 818855^2 + 1196114^2 .

It is not a de Polignac number, because 2101212212021 - 22 = 2101212212017 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101212212221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80036105 + ... + 80062353.

It is an arithmetic number, because the mean of its divisors is an integer number (141571749375).

Almost surely, 22101212212021 is an apocalyptic number.

It is an amenable number.

2101212212021 is a deficient number, since it is larger than the sum of its proper divisors (163935777979).

2101212212021 is a wasteful number, since it uses less digits than its factorization.

2101212212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32296.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2101212212021 its reverse (1202122121012), we get a palindrome (3303334333033).

The spelling of 2101212212021 in words is "two trillion, one hundred one billion, two hundred twelve million, two hundred twelve thousand, twenty-one".

Divisors: 1 13 1301 4733 16913 26249 61529 341237 6157633 34149949 80049229 124236517 443949337 1615074721 161631708617 2101212212021