Search a number
-
+
121265550 = 232527137281
BaseRepresentation
bin1110011101001…
…01110110001110
322110011221001200
413032211312032
5222020444200
620011050330
73001511610
oct716456616
9273157050
10121265550
11624a666a
12347409a6
131c17ac83
1412168db0
15a9a5800
hex73a5d8e

121265550 has 144 divisors (see below), whose sum is σ = 376395552. Its totient is φ = 27417600.

The previous prime is 121265509. The next prime is 121265563. The reversal of 121265550 is 55562121.

121265550 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 655 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431410 + ... + 431690.

It is an arithmetic number, because the mean of its divisors is an integer number (2613858).

Almost surely, 2121265550 is an apocalyptic number.

121265550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121265550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188197776).

121265550 is an abundant number, since it is smaller than the sum of its proper divisors (255130002).

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

121265550 is a wasteful number, since it uses less digits than its factorization.

121265550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

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

The square root of 121265550 is about 11012.0638392628. The cubic root of 121265550 is about 494.9703073710.

The spelling of 121265550 in words is "one hundred twenty-one million, two hundred sixty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 137 150 175 210 225 274 281 315 350 411 450 525 562 630 685 822 843 959 1050 1233 1370 1405 1575 1686 1918 1967 2055 2466 2529 2810 2877 3150 3425 3934 4110 4215 4795 5058 5754 5901 6165 6850 7025 8430 8631 9590 9835 10275 11802 12330 12645 14050 14385 17262 17703 19670 20550 21075 23975 25290 28770 29505 30825 35406 38497 42150 43155 47950 49175 59010 61650 63225 71925 76994 86310 88515 98350 115491 126450 143850 147525 177030 192485 215775 230982 269479 295050 346473 384970 431550 442575 538958 577455 692946 808437 885150 962425 1154910 1347395 1616874 1732365 1924850 2425311 2694790 2887275 3464730 4042185 4850622 5774550 6736975 8084370 8661825 12126555 13473950 17323650 20210925 24253110 40421850 60632775 121265550