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210314431120300 = 225213467346424693
BaseRepresentation
bin101111110100011110100100…
…111101010100001110101100
31000120122212022022111012120221
4233310132210331110032230
5210031242423331322200
62023145041004421124
762204500443260503
oct5764364475241654
91016585268435527
10210314431120300
1161015938532971
121b7084195477a4
139047747c71330
1439d13b671383a
15194ab6358391a
hexbf47a4f543ac

210314431120300 has 72 divisors (see below), whose sum is σ = 492541087134096. Its totient is φ = 77488275106560.

The previous prime is 210314431120249. The next prime is 210314431120327. The reversal of 210314431120300 is 3021134413012.

It is a super-2 number, since 2×2103144311203002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172605247 + ... + 173819446.

It is an arithmetic number, because the mean of its divisors is an integer number (6840848432418).

Almost surely, 2210314431120300 is an apocalyptic number.

210314431120300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210314431120300 is an abundant number, since it is smaller than the sum of its proper divisors (282226656013796).

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

210314431120300 is a wasteful number, since it uses less digits than its factorization.

210314431120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346425187 (or 346425180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 210314431120300 its reverse (3021134413012), we get a palindrome (213335565533312).

The spelling of 210314431120300 in words is "two hundred ten trillion, three hundred fourteen billion, four hundred thirty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 467 650 934 1300 1868 2335 4670 6071 9340 11675 12142 23350 24284 30355 46700 60710 121420 151775 303550 607100 346424693 692849386 1385698772 1732123465 3464246930 4503521009 6928493860 8660617325 9007042018 17321234650 18014084036 22517605045 34642469300 45035210090 90070420180 112588025225 161780331631 225176050450 323560663262 450352100900 647121326524 808901658155 1617803316310 2103144311203 3235606632620 4044508290775 4206288622406 8089016581550 8412577244812 10515721556015 16178033163100 21031443112030 42062886224060 52578607780075 105157215560150 210314431120300