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1014432321123 = 33139103317491
BaseRepresentation
bin11101100001100001110…
…00001100111001100011
310120222102112101022011000
432300300320030321203
5113110024133233443
62054005045123043
7133201402313004
oct16606070147143
93528375338130
101014432321123
11361244665411
1214472b3b9483
1374878324620
14371550d91ab
151b5c37e48d3
hexec30e0ce63

1014432321123 has 32 divisors (see below), whose sum is σ = 1618650414080. Its totient is φ = 624195499680.

The previous prime is 1014432321107. The next prime is 1014432321127. The reversal of 1014432321123 is 3211232344101.

1014432321123 is a `hidden beast` number, since 1 + 0 + 1 + 443 + 2 + 3 + 211 + 2 + 3 = 666.

It is not a de Polignac number, because 1014432321123 - 24 = 1014432321107 is a prime.

It is a super-2 number, since 2×10144323211232 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014432321127) 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 31 ways as a sum of consecutive naturals, for example, 3036408 + ... + 3353898.

It is an arithmetic number, because the mean of its divisors is an integer number (50582825440).

Almost surely, 21014432321123 is an apocalyptic number.

1014432321123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1014432321123 is a deficient number, since it is larger than the sum of its proper divisors (604218092957).

1014432321123 is a wasteful number, since it uses less digits than its factorization.

1014432321123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326616 (or 326610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1014432321123 its reverse (3211232344101), we get a palindrome (4225664665224).

The spelling of 1014432321123 in words is "one trillion, fourteen billion, four hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 351 9103 27309 81927 118339 245781 317491 355017 952473 1065051 2857419 3195153 4127383 8572257 12382149 37146447 111439341 2890120573 8670361719 26011085157 37571567449 78033255471 112714702347 338144107041 1014432321123