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2252024521101 = 321729507555673
BaseRepresentation
bin100000110001010111000…
…111110010000110001101
321222021212110110000221100
4200301113013302012031
5243344121234133401
64442322113053313
7321463160405505
oct40612707620615
97867773400840
102252024521101
1179909514a773
1230455a557239
13134498ba4834
147adda100a05
153d8a88eeb86
hex20c571f218d

2252024521101 has 24 divisors (see below), whose sum is σ = 3563040831480. Its totient is φ = 1364309646336.

The previous prime is 2252024521009. The next prime is 2252024521127. The reversal of 2252024521101 is 1011254202522.

2252024521101 is a `hidden beast` number, since 2 + 2 + 5 + 202 + 452 + 1 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 654846719076 + 1597177802025 = 809226^2 + 1263795^2 .

It is not a de Polignac number, because 2252024521101 - 222 = 2252020326797 is a prime.

It is a super-2 number, since 2×22520245211012 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252024501101) 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 23 ways as a sum of consecutive naturals, for example, 253773400 + ... + 253782273.

It is an arithmetic number, because the mean of its divisors is an integer number (148460034645).

Almost surely, 22252024521101 is an apocalyptic number.

It is an amenable number.

2252024521101 is a deficient number, since it is larger than the sum of its proper divisors (1311016310379).

2252024521101 is a wasteful number, since it uses less digits than its factorization.

2252024521101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507555725 (or 507555722 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 2252024521101 its reverse (1011254202522), we get a palindrome (3263278723623).

The spelling of 2252024521101 in words is "two trillion, two hundred fifty-two billion, twenty-four million, five hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 507555673 1522667019 4568001057 8628446441 14719114517 25885339323 44157343551 77656017969 132472030653 250224946789 750674840367 2252024521101