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100312232321 = 7347214119289
BaseRepresentation
bin101110101101100010…
…0110011000110000001
3100120220221011101110202
41131123010303012001
53120414412413241
6114025515134545
710150554622550
oct1353304630601
9316827141422
10100312232321
11395a6704944
1217536444455
1395c84011b2
144bd86d9d97
152921862d9b
hex175b133181

100312232321 has 16 divisors (see below), whose sum is σ = 115032597120. Its totient is φ = 85689640320.

The previous prime is 100312232303. The next prime is 100312232341. The reversal of 100312232321 is 123232213001.

It is a cyclic number.

It is not a de Polignac number, because 100312232321 - 26 = 100312232257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100312232293 and 100312232302.

It is not an unprimeable number, because it can be changed into a prime (100312232341) 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 15 ways as a sum of consecutive naturals, for example, 5190845 + ... + 5210133.

It is an arithmetic number, because the mean of its divisors is an integer number (7189537320).

Almost surely, 2100312232321 is an apocalyptic number.

It is an amenable number.

100312232321 is a deficient number, since it is larger than the sum of its proper divisors (14720364799).

100312232321 is a wasteful number, since it uses less digits than its factorization.

100312232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21784.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100312232321 its reverse (123232213001), we get a palindrome (223544445322).

The spelling of 100312232321 in words is "one hundred billion, three hundred twelve million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 7 347 2141 2429 14987 19289 135023 742927 5200489 6693283 41297749 46852981 289084243 14330318903 100312232321