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102882487009 = 37286692
BaseRepresentation
bin101111111010001000…
…1100010101011100001
3100211120001112212001211
41133310101202223201
53141200404041014
6115132532430121
710301344465501
oct1376421425341
9324501485054
10102882487009
113a6a5533275
1217b33178341
139917a5b063
144d9dbd7a01
152a22319cc4
hex17f4462ae1

102882487009 has 9 divisors (see below), whose sum is σ = 105750445017. Its totient is φ = 100090332144.

The previous prime is 102882486997. The next prime is 102882487027. The reversal of 102882487009 is 900784288201.

The square root of 102882487009 is 320753.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15578784225 + 87303702784 = 124815^2 + 295472^2 .

It is a de Polignac number, because none of the positive numbers 2k-102882487009 is a prime.

It is a super-2 number, since 2×1028824870092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102882487039) 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 8 ways as a sum of consecutive naturals, for example, 11863527 + ... + 11872195.

Almost surely, 2102882487009 is an apocalyptic number.

102882487009 is the 320753-rd square number.

102882487009 is the 160377-th centered octagonal number.

It is an amenable number.

102882487009 is a deficient number, since it is larger than the sum of its proper divisors (2867958008).

102882487009 is an frugal number, since it uses more digits than its factorization.

102882487009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17412 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

Multiplying 102882487009 by its sum of digits (49), we get a square (5041241863441 = 22452712).

The spelling of 102882487009 in words is "one hundred two billion, eight hundred eighty-two million, four hundred eighty-seven thousand, nine".

Divisors: 1 37 1369 8669 320753 11867861 75151561 2780607757 102882487009