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213232210331121 = 362540531151333
BaseRepresentation
bin110000011110111011111110…
…001001101100010111110001
31000221222210121100211122000000
4300132323332021230113301
5210422044031321043441
62033301305231220213
762625342644330142
oct6036737611542761
91027883540748000
10213232210331121
1161a402aa863803
121bab99b7977669
1391c9932539397
143a926cb941ac9
15199b9d48822b6
hexc1eefe26c5f1

213232210331121 has 28 divisors (see below), whose sum is σ = 319703601783348. Its totient is φ = 142154123870304.

The previous prime is 213232210331081. The next prime is 213232210331131. The reversal of 213232210331121 is 121133012232312.

213232210331121 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 322 + 1 + 0 + 3 + 311 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157013705921121 + 56218504410000 = 12530511^2 + 7497900^2 .

It is not a de Polignac number, because 213232210331121 - 26 = 213232210331057 is a prime.

It is a super-2 number, since 2×2132322103311212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213232210331131) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 184628971 + ... + 185780303.

Almost surely, 2213232210331121 is an apocalyptic number.

It is an amenable number.

213232210331121 is a deficient number, since it is larger than the sum of its proper divisors (106471391452227).

213232210331121 is an equidigital number, since it uses as much as digits as its factorization.

213232210331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405404 (or 1405389 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213232210331121 its reverse (121133012232312), we get a palindrome (334365222563433).

The spelling of 213232210331121 in words is "two hundred thirteen trillion, two hundred thirty-two billion, two hundred ten million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 254053 762159 1151333 2286477 3453999 6859431 10361997 20578293 31085991 61734879 93257973 185204637 279773919 839321757 292499602649 877498807947 2632496423841 7897489271523 23692467814569 71077403443707 213232210331121