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10232200023201 = 3213372363640569
BaseRepresentation
bin1001010011100101111010…
…1001011100110010100001
31100020012002121112121011200
42110321132221130302201
52320121021201220301
633432335141231413
72104152312104052
oct224713651346241
940205077477150
1010232200023201
1132954a7184242
12119309b102569
13592b7a57b860
14275353900729
1512b26a214c86
hex94e5ea5cca1

10232200023201 has 24 divisors (see below), whose sum is σ = 16346938182120. Its totient is φ = 6126556352256.

The previous prime is 10232200023197. The next prime is 10232200023223. The reversal of 10232200023201 is 10232000223201.

10232200023201 is a `hidden beast` number, since 1 + 0 + 232 + 200 + 0 + 232 + 0 + 1 = 666.

10232200023201 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 1865412371601 + 8366787651600 = 1365801^2 + 2892540^2 .

It is not a de Polignac number, because 10232200023201 - 22 = 10232200023197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10232200023271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181815956 + ... + 1181824613.

It is an arithmetic number, because the mean of its divisors is an integer number (681122424255).

Almost surely, 210232200023201 is an apocalyptic number.

It is an amenable number.

10232200023201 is a deficient number, since it is larger than the sum of its proper divisors (6114738158919).

10232200023201 is a wasteful number, since it uses less digits than its factorization.

10232200023201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363640625 (or 2363640622 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10232200023201 its reverse (10232000223201), we get a palindrome (20464200246402).

The spelling of 10232200023201 in words is "ten trillion, two hundred thirty-two billion, two hundred million, twenty-three thousand, two hundred one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 2363640569 7090921707 21272765121 30727327397 87454701053 92181982191 262364103159 276545946573 787092309477 1136911113689 3410733341067 10232200023201