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102321432031 = 7133493221809
BaseRepresentation
bin101111101001011010…
…1010010010111011111
3100210002221211022022211
41133102311102113133
53134023241311111
6115001131221251
710251422551630
oct1372265222737
9323087738284
10102321432031
113a437865375
12179b72a7827
139858749a70
144d494ab887
1529dce41521
hex17d2d525df

102321432031 has 16 divisors (see below), whose sum is σ = 126294952000. Its totient is φ = 80725621248.

The previous prime is 102321432019. The next prime is 102321432043. The reversal of 102321432031 is 130234123201.

It is an interprime number because it is at equal distance from previous prime (102321432019) and next prime (102321432043).

It is a cyclic number.

It is not a de Polignac number, because 102321432031 - 225 = 102287877599 is a prime.

It is a super-2 number, since 2×1023214320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102321431993 and 102321432011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579146 + ... + 1642663.

It is an arithmetic number, because the mean of its divisors is an integer number (7893434500).

Almost surely, 2102321432031 is an apocalyptic number.

102321432031 is a deficient number, since it is larger than the sum of its proper divisors (23973519969).

102321432031 is a wasteful number, since it uses less digits than its factorization.

102321432031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222178.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102321432031 its reverse (130234123201), we get a palindrome (232555555232).

The spelling of 102321432031 in words is "one hundred two billion, three hundred twenty-one million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 7 13 91 349 2443 4537 31759 3221809 22552663 41883517 293184619 1124411341 7870879387 14617347433 102321432031