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101431023 = 3374379269
BaseRepresentation
bin1100000101110…
…11011011101111
321001212020012120
412002323123233
5201431243043
614022004023
72341102161
oct602733357
9231766176
10101431023
11522896a1
1229b76613
1318024c75
14d684931
158d88983
hex60bb6ef

101431023 has 32 divisors (see below), whose sum is σ = 144460800. Its totient is φ = 63213696.

The previous prime is 101431021. The next prime is 101431049. The reversal of 101431023 is 320134101.

It is not a de Polignac number, because 101431023 - 21 = 101431021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101430993 and 101431011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431021) 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 31 ways as a sum of consecutive naturals, for example, 376933 + ... + 377201.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2101431023 is an apocalyptic number.

101431023 is a deficient number, since it is larger than the sum of its proper divisors (43029777).

101431023 is a wasteful number, since it uses less digits than its factorization.

101431023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101431023 is about 10071.2969869824. The cubic root of 101431023 is about 466.3624786913.

Adding to 101431023 its reverse (320134101), we get a palindrome (421565124).

The spelling of 101431023 in words is "one hundred one million, four hundred thirty-one thousand, twenty-three".

Divisors: 1 3 37 43 79 111 129 237 269 807 1591 2923 3397 4773 8769 9953 10191 11567 21251 29859 34701 63753 125689 377067 427979 786287 913793 1283937 2358861 2741379 33810341 101431023