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101442342000 = 2435316907057
BaseRepresentation
bin101111001111001101…
…1110100110001110000
3100200211200122220111210
41132132123310301300
53130223214421000
6114334005240120
710220556452136
oct1363633646160
9320750586453
10101442342000
113a026614a8a
12177b0a03040
139748594a4c
144ca4835756
15298ab95350
hex179e6f4c70

101442342000 has 80 divisors (see below), whose sum is σ = 327050129952. Its totient is φ = 27051289600.

The previous prime is 101442341971. The next prime is 101442342083. The reversal of 101442342000 is 243244101.

101442342000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8447529 + ... + 8459528.

Almost surely, 2101442342000 is an apocalyptic number.

101442342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101442342000 is an abundant number, since it is smaller than the sum of its proper divisors (225607787952).

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

101442342000 is a wasteful number, since it uses less digits than its factorization.

101442342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16907083 (or 16907067 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 101442342000 its reverse (243244101), we get a palindrome (101685586101).

The spelling of 101442342000 in words is "one hundred one billion, four hundred forty-two million, three hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 16907057 33814114 50721171 67628228 84535285 101442342 135256456 169070570 202884684 253605855 270512912 338141140 405769368 422676425 507211710 676282280 811538736 845352850 1014423420 1268029275 1352564560 1690705700 2028846840 2113382125 2536058550 3381411400 4057693680 4226764250 5072117100 6340146375 6762822800 8453528500 10144234200 12680292750 16907057000 20288468400 25360585500 33814114000 50721171000 101442342000