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102132322999 = 7198947918013
BaseRepresentation
bin101111100011110001…
…1111001001010110111
3100202121202222120111121
41133013203321022313
53133131333313444
6114530254044411
710243635264430
oct1370743711267
9322552876447
10102132322999
113a350040a13
1217963aa9707
139828506a25
144d2c322487
1529cb539084
hex17c78f92b7

102132322999 has 32 divisors (see below), whose sum is σ = 124512768000. Its totient is φ = 81826930944.

The previous prime is 102132322993. The next prime is 102132323017. The reversal of 102132322999 is 999223231201.

It is not a de Polignac number, because 102132322999 - 217 = 102132191927 is a prime.

It is a super-3 number, since 3×1021323229993 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132322993) 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 31 ways as a sum of consecutive naturals, for example, 5660917 + ... + 5678929.

It is an arithmetic number, because the mean of its divisors is an integer number (3891024000).

Almost surely, 2102132322999 is an apocalyptic number.

102132322999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102132322999 is a deficient number, since it is larger than the sum of its proper divisors (22380445001).

102132322999 is a wasteful number, since it uses less digits than its factorization.

102132322999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18607.

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 102132322999 in words is "one hundred two billion, one hundred thirty-two million, three hundred twenty-two thousand, nine hundred ninety-nine".

Divisors: 1 7 19 89 133 479 623 1691 3353 9101 11837 18013 42631 63707 126091 298417 342247 809989 1603157 2395729 5669923 8628227 11222099 30459983 60397589 163936313 213219881 767912203 1147554191 5375385421 14590331857 102132322999