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102848210100 = 223252114275789
BaseRepresentation
bin101111111001000111…
…0110010010010110100
3100211110200001101222200
41133302032302102310
53141113120210400
6115125310024500
710300450235016
oct1376216622264
9324420041880
10102848210100
113a688151549
1217b237a8130
13991091946c
144d994341b6
152a1e2e8b00
hex17f23b24b4

102848210100 has 54 divisors (see below), whose sum is σ = 322372003590. Its totient is φ = 27426189120.

The previous prime is 102848210041. The next prime is 102848210117. The reversal of 102848210100 is 1012848201.

It can be written as a sum of positive squares in 3 ways, for example, as 1750920336 + 101097289764 = 41844^2 + 317958^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57136995 + ... + 57138794.

Almost surely, 2102848210100 is an apocalyptic number.

102848210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102848210100 is an abundant number, since it is smaller than the sum of its proper divisors (219523793490).

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

102848210100 is a wasteful number, since it uses less digits than its factorization.

102848210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275809 (or 114275799 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 102848210100 in words is "one hundred two billion, eight hundred forty-eight million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 114275789 228551578 342827367 457103156 571378945 685654734 1028482101 1142757890 1371309468 1714136835 2056964202 2285515780 2856894725 3428273670 4113928404 5142410505 5713789450 6856547340 8570684175 10284821010 11427578900 17141368350 20569642020 25712052525 34282736700 51424105050 102848210100