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101828305360 = 24512710022471
BaseRepresentation
bin101111011010101110…
…0001010000111010000
3100201211120220212201001
41132311130022013100
53132021021232420
6114440153551344
710233254212555
oct1366534120720
9321746825631
10101828305360
113a204472a71
121789a115554
1397aa530332
144cddbc4a2c
1529ae9d4b0a
hex17b570a1d0

101828305360 has 40 divisors (see below), whose sum is σ = 238615013376. Its totient is φ = 40410599040.

The previous prime is 101828305309. The next prime is 101828305387. The reversal of 101828305360 is 63503828101.

101828305360 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5001076 + ... + 5021395.

Almost surely, 2101828305360 is an apocalyptic number.

101828305360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101828305360 is an abundant number, since it is smaller than the sum of its proper divisors (136786708016).

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

101828305360 is a wasteful number, since it uses less digits than its factorization.

101828305360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022611 (or 10022605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 101828305360 in words is "one hundred one billion, eight hundred twenty-eight million, three hundred five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 10022471 20044942 40089884 50112355 80179768 100224710 160359536 200449420 400898840 801797680 1272853817 2545707634 5091415268 6364269085 10182830536 12728538170 20365661072 25457076340 50914152680 101828305360