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101322023 = 1117678087
BaseRepresentation
bin1100000101000…
…00110100100111
321001122200200112
412002200310213
5201414301043
614015403235
72340136325
oct602406447
9231580615
10101322023
1152214810
1229b2351b
1317cb747a
14d656d15
158d66518
hex60a0d27

101322023 has 16 divisors (see below), whose sum is σ = 118796544. Its totient is φ = 85388160.

The previous prime is 101322019. The next prime is 101322031. The reversal of 101322023 is 320223101.

It is a happy number.

It is not a de Polignac number, because 101322023 - 22 = 101322019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101321989 and 101322007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8486 + ... + 16572.

It is an arithmetic number, because the mean of its divisors is an integer number (7424784).

Almost surely, 2101322023 is an apocalyptic number.

101322023 is a deficient number, since it is larger than the sum of its proper divisors (17474521).

101322023 is a wasteful number, since it uses less digits than its factorization.

101322023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 101322023 is about 10065.8841141750. The cubic root of 101322023 is about 466.1953643690.

Adding to 101322023 its reverse (320223101), we get a palindrome (421545124).

The spelling of 101322023 in words is "one hundred one million, three hundred twenty-two thousand, twenty-three".

Divisors: 1 11 17 67 187 737 1139 8087 12529 88957 137479 541829 1512269 5960119 9211093 101322023