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101580087438 = 232179267711777
BaseRepresentation
bin101111010011010100…
…1010010000010001110
3100201012021212002201200
41132212221102002032
53131014000244223
6114355405450330
710224151332264
oct1364651220216
9321167762650
10101580087438
113a097347195
121782ab709a6
13976ac92b1b
144cb8c50434
152997d03a43
hex17a6a5208e

101580087438 has 48 divisors (see below), whose sum is σ = 221421217680. Its totient is φ = 33655431168.

The previous prime is 101580087421. The next prime is 101580087571. The reversal of 101580087438 is 834780085101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101580087393 and 101580087402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8619406 + ... + 8631182.

It is an arithmetic number, because the mean of its divisors is an integer number (4612942035).

Almost surely, 2101580087438 is an apocalyptic number.

101580087438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101580087438 is an abundant number, since it is smaller than the sum of its proper divisors (119841130242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101580087438 is a wasteful number, since it uses less digits than its factorization.

101580087438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 101580087438 in words is "one hundred one billion, five hundred eighty million, eighty-seven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 179 358 537 1074 1611 2677 3222 5354 8031 11777 16062 23554 24093 35331 48186 70662 105993 211986 479183 958366 1437549 2108083 2875098 4216166 4312647 6324249 8625294 12648498 18972747 31527029 37945494 63054058 94581087 189162174 283743261 567486522 5643338191 11286676382 16930014573 33860029146 50790043719 101580087438