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232212010031 = 3115149607351
BaseRepresentation
bin1101100001000011101…
…0100001010000101111
3211012101020212100011222
43120100322201100233
512301032233310111
6254402101133555
722530300342461
oct3302072412057
9735336770158
10232212010031
118a5316980a1
12390073ba2bb
1318b88a5c341
14b34c212131
15609138d7db
hex3610ea142f

232212010031 has 8 divisors (see below), whose sum is σ = 241290160128. Its totient is φ = 223233075000.

The previous prime is 232212009979. The next prime is 232212010067. The reversal of 232212010031 is 130010212232.

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

It is a cyclic number.

It is not a de Polignac number, because 232212010031 - 234 = 215032140847 is a prime.

It is a super-2 number, since 2×2322120100312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232212009991 and 232212010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232212010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24798995 + ... + 24808356.

It is an arithmetic number, because the mean of its divisors is an integer number (30161270016).

Almost surely, 2232212010031 is an apocalyptic number.

232212010031 is a deficient number, since it is larger than the sum of its proper divisors (9078150097).

232212010031 is a wasteful number, since it uses less digits than its factorization.

232212010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49607533.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 232212010031 its reverse (130010212232), we get a palindrome (362222222263).

The spelling of 232212010031 in words is "two hundred thirty-two billion, two hundred twelve million, ten thousand, thirty-one".

Divisors: 1 31 151 4681 49607351 1537827881 7490710001 232212010031