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121193325 = 325211232129
BaseRepresentation
bin1110011100101…
…00001101101101
322110001020222200
413032110031231
5222011141300
620005332113
73001061211
oct716241555
9273036880
10121193325
1162457380
1234707039
131c154136
141214a941
15a98e200
hex739436d

121193325 has 72 divisors (see below), whose sum is σ = 247216320. Its totient is φ = 56179200.

The previous prime is 121193299. The next prime is 121193327. The reversal of 121193325 is 523391121.

It is not a de Polignac number, because 121193325 - 213 = 121185133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121193327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55861 + ... + 57989.

It is an arithmetic number, because the mean of its divisors is an integer number (3433560).

Almost surely, 2121193325 is an apocalyptic number.

121193325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121193325 is an abundant number, since it is smaller than the sum of its proper divisors (126022995).

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

121193325 is a wasteful number, since it uses less digits than its factorization.

121193325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 121193325 is about 11008.7839927941. The cubic root of 121193325 is about 494.8720207867.

The spelling of 121193325 in words is "one hundred twenty-one million, one hundred ninety-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 207 225 253 275 345 495 575 759 825 1035 1265 1725 2129 2277 2475 3795 5175 6325 6387 10645 11385 18975 19161 23419 31935 48967 53225 56925 70257 95805 117095 146901 159675 210771 244835 351285 440703 479025 538637 585475 734505 1053855 1224175 1615911 1756425 2203515 2693185 3672525 4847733 5269275 8079555 11017575 13465925 24238665 40397775 121193325