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10221131032333 = 132573059302913
BaseRepresentation
bin1001010010111100101011…
…1000100110011100001101
31100012010112012021121020221
42110233022320212130031
52314430334021013313
633423304530311341
72103311104166464
oct224571270463415
940163465247227
1010221131032333
113290837004601
121190b10128551
13591b05279b10
142749c37d19db
1512ad1d598c8d
hex94bcae2670d

10221131032333 has 8 divisors (see below), whose sum is σ = 11050202125368. Its totient is φ = 9398178545664.

The previous prime is 10221131032319. The next prime is 10221131032337. The reversal of 10221131032333 is 33323013112201.

10221131032333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 827623228644 + 9393507803689 = 909738^2 + 3064883^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221131032333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221131032298 and 10221131032307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221131032337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1529648116 + ... + 1529654797.

It is an arithmetic number, because the mean of its divisors is an integer number (1381275265671).

Almost surely, 210221131032333 is an apocalyptic number.

10221131032333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10221131032333 is a deficient number, since it is larger than the sum of its proper divisors (829071093035).

10221131032333 is a wasteful number, since it uses less digits than its factorization.

10221131032333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059303183.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10221131032333 its reverse (33323013112201), we get a palindrome (43544144144534).

The spelling of 10221131032333 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-one million, thirty-two thousand, three hundred thirty-three".

Divisors: 1 13 257 3341 3059302913 39770937869 786240848641 10221131032333