Search a number
-
+
122808643425 = 33521337210223
BaseRepresentation
bin111001001011111110…
…1110010111101100001
3102201222202010110222000
41302113331302331201
54003003003042200
6132230103234213
711605212150126
oct1622775627541
9381882113860
10122808643425
11480a0306536
121b974448969
13b77204c860
145d3037a74d
1532db84b300
hex1c97f72f61

122808643425 has 144 divisors (see below), whose sum is σ = 249726516480. Its totient is φ = 58819841280.

The previous prime is 122808643421. The next prime is 122808643439. The reversal of 122808643425 is 524346808221.

122808643425 is a `hidden beast` number, since 1 + 228 + 0 + 86 + 4 + 342 + 5 = 666.

It is not a de Polignac number, because 122808643425 - 22 = 122808643421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (122808643421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12007864 + ... + 12018086.

It is an arithmetic number, because the mean of its divisors is an integer number (1734211920).

Almost surely, 2122808643425 is an apocalyptic number.

122808643425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122808643425 is an abundant number, since it is smaller than the sum of its proper divisors (126917873055).

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

122808643425 is a wasteful number, since it uses less digits than its factorization.

122808643425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 122808643425 in words is "one hundred twenty-two billion, eight hundred eight million, six hundred forty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 37 39 45 65 75 111 117 135 185 195 225 325 333 351 481 555 585 675 925 975 999 1369 1443 1665 1755 2405 2775 2925 4107 4329 4995 6845 7215 8325 8775 10223 12025 12321 12987 17797 20535 21645 24975 30669 34225 36075 36963 51115 53391 61605 64935 88985 92007 102675 108225 132899 153345 160173 184815 255575 266955 276021 308025 324675 378251 398697 444925 460035 480519 664495 766725 800865 924075 1134753 1196091 1334775 1380105 1891255 1993485 2300175 2402595 3322475 3404259 3588273 4004325 4917263 5673765 5980455 6900525 9456275 9967425 10212777 12012975 13995287 14751789 17021295 17941365 24586315 28368825 29902275 41985861 44255367 51063885 69976435 73758945 85106475 89706825 122931575 125957583 132766101 181938731 209929305 221276835 255319425 349882175 368794725 377872749 545816193 629787915 663830505 909693655 1049646525 1106384175 1637448579 1889363745 2729080965 3148939575 3319152525 4548468275 4912345737 8187242895 9446818725 13645404825 24561728685 40936214475 122808643425