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121981700 = 22526119997
BaseRepresentation
bin1110100010101…
…00101100000100
322111112022102202
413101110230010
5222211403300
620034254032
73010553531
oct721245404
9274468382
10121981700
1162945725
1234a27318
131c36bc29
14122b3d88
15aa97ad5
hex7454b04

121981700 has 36 divisors (see below), whose sum is σ = 269053092. Its totient is φ = 47990400.

The previous prime is 121981687. The next prime is 121981721. The reversal of 121981700 is 7189121.

It can be written as a sum of positive squares in 6 ways, for example, as 6677056 + 115304644 = 2584^2 + 10738^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3899 + ... + 16098.

It is an arithmetic number, because the mean of its divisors is an integer number (7473697).

Almost surely, 2121981700 is an apocalyptic number.

121981700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121981700 is an abundant number, since it is smaller than the sum of its proper divisors (147071392).

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

121981700 is a wasteful number, since it uses less digits than its factorization.

121981700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20072 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 121981700 is about 11044.5325840436. The cubic root of 121981700 is about 495.9427667659.

The spelling of 121981700 in words is "one hundred twenty-one million, nine hundred eighty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 19997 39994 79988 99985 199970 399940 499925 999850 1219817 1999700 2439634 4879268 6099085 12198170 24396340 30495425 60990850 121981700