Search a number
-
+
121550625 = 345474
BaseRepresentation
bin1110011111010…
…11011100100001
322110201102010000
413033223130201
5222104110000
620021130213
73004110000
oct717533441
9273642100
10121550625
1162680869
1234859969
131c24a961
1412200c37
15aa10000
hex73eb721

121550625 has 125 divisors (see below), whose sum is σ = 264697301. Its totient is φ = 55566000.

The previous prime is 121550617. The next prime is 121550633. The reversal of 121550625 is 526055121.

The square root of 121550625 is 11025.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (121550617) and next prime (121550633).

It can be written as a sum of positive squares in 2 ways, for example, as 9529569 + 112021056 = 3087^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is not a de Polignac number, because 121550625 - 23 = 121550617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 17364372 + ... + 17364378.

Almost surely, 2121550625 is an apocalyptic number.

121550625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121550625 is the 11025-th square number.

121550625 is the 5513-rd centered octagonal number.

It is an amenable number.

121550625 is an abundant number, since it is smaller than the sum of its proper divisors (143146676).

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

121550625 is an frugal number, since it uses more digits than its factorization.

121550625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The cubic root of 121550625 is about 495.3578679332.

The spelling of 121550625 in words is "one hundred twenty-one million, five hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 245 315 343 375 405 441 525 567 625 675 735 875 945 1029 1125 1225 1323 1575 1715 1875 2025 2205 2401 2625 2835 3087 3375 3675 3969 4375 4725 5145 5625 6125 6615 7203 7875 8575 9261 10125 11025 12005 13125 14175 15435 16875 18375 19845 21609 23625 25725 27783 30625 33075 36015 39375 42875 46305 50625 55125 60025 64827 70875 77175 91875 99225 108045 118125 128625 138915 165375 180075 194481 214375 231525 275625 300125 324135 354375 385875 496125 540225 643125 694575 826875 900375 972405 1157625 1500625 1620675 1929375 2480625 2701125 3472875 4501875 4862025 5788125 8103375 13505625 17364375 24310125 40516875 121550625