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121800320 = 275190313
BaseRepresentation
bin1110100001010…
…00011010000000
322111012002121222
413100220122000
5222140102240
620030334212
73006166655
oct720503200
9274162558
10121800320
1162831424
123495a368
131c3074c5
1412267c2c
15aa5deb5
hex7428680

121800320 has 32 divisors (see below), whose sum is σ = 291180420. Its totient is φ = 48719872.

The previous prime is 121800313. The next prime is 121800323. The reversal of 121800320 is 23008121.

It can be written as a sum of positive squares in 2 ways, for example, as 104693824 + 17106496 = 10232^2 + 4136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (121800323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94517 + ... + 95796.

Almost surely, 2121800320 is an apocalyptic number.

121800320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121800320 is an abundant number, since it is smaller than the sum of its proper divisors (169380100).

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

121800320 is an equidigital number, since it uses as much as digits as its factorization.

121800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190332 (or 190320 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 121800320 is about 11036.3182266551. The cubic root of 121800320 is about 495.6968317295.

Adding to 121800320 its reverse (23008121), we get a palindrome (144808441).

The spelling of 121800320 in words is "one hundred twenty-one million, eight hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 190313 380626 761252 951565 1522504 1903130 3045008 3806260 6090016 7612520 12180032 15225040 24360064 30450080 60900160 121800320