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210742376300 = 225237119347743
BaseRepresentation
bin1100010001000100111…
…0010111011101101100
3202010221222221221110022
43010101032113131230
511423100022020200
6240451432301312
721140251433231
oct3042116273554
9663858857408
10210742376300
1181414639545
1234a15241838
1316b46a65061
14a2b2a8d788
1557365c5885
hex311139776c

210742376300 has 72 divisors (see below), whose sum is σ = 470074246656. Its totient is φ = 81948188160.

The previous prime is 210742376231. The next prime is 210742376321. The reversal of 210742376300 is 3673247012.

210742376300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4390229 + ... + 4437971.

Almost surely, 2210742376300 is an apocalyptic number.

210742376300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210742376300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235037123328).

210742376300 is an abundant number, since it is smaller than the sum of its proper divisors (259331870356).

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

210742376300 is a wasteful number, since it uses less digits than its factorization.

210742376300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48987 (or 48980 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 210742376300 in words is "two hundred ten billion, seven hundred forty-two million, three hundred seventy-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1193 1850 2386 3700 4772 5965 11930 23860 29825 44141 47743 59650 88282 95486 119300 176564 190972 220705 238715 441410 477430 882820 954860 1103525 1193575 1766491 2207050 2387150 3532982 4414100 4774300 7065964 8832455 17664910 35329820 44162275 56957399 88324550 113914798 176649100 227829596 284786995 569573990 1139147980 1423934975 2107423763 2847869950 4214847526 5695739900 8429695052 10537118815 21074237630 42148475260 52685594075 105371188150 210742376300