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101011233323 = 71113100910323
BaseRepresentation
bin101111000010010111…
…1010001101000101011
3100122201122110022120202
41132010233101220223
53123332333431243
6114223125142415
710204103213420
oct1360457215053
9318648408522
10101011233323
1139925231720
12176b055aa0b
1396aa180960
144c63493d47
152962dd94b8
hex1784bd1a2b

101011233323 has 16 divisors (see below), whose sum is σ = 135623475456. Its totient is φ = 72655431840.

The previous prime is 101011233289. The next prime is 101011233329. The reversal of 101011233323 is 323332110101.

It is a cyclic number.

It is not a de Polignac number, because 101011233323 - 28 = 101011233067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011233295 and 101011233304.

It is not an unprimeable number, because it can be changed into a prime (101011233329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50454161 + ... + 50456162.

It is an arithmetic number, because the mean of its divisors is an integer number (8476467216).

Almost surely, 2101011233323 is an apocalyptic number.

101011233323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101011233323 is a deficient number, since it is larger than the sum of its proper divisors (34612242133).

101011233323 is a wasteful number, since it uses less digits than its factorization.

101011233323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100910354.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101011233323 its reverse (323332110101), we get a palindrome (424343343424).

The spelling of 101011233323 in words is "one hundred one billion, eleven million, two hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 7 11 13 77 91 143 1001 100910323 706372261 1110013553 1311834199 7770094871 9182839393 14430176189 101011233323