[go: up one dir, main page]

Search a number
-
+
1012345425 = 335271316481
BaseRepresentation
bin111100010101110…
…010101001010001
32121112220110212000
4330111302221101
54033130023200
6244242024213
734041536250
oct7425625121
92545813760
101012345425
1147a496113
12243048069
13131970480
1498642797
155dd1e300
hex3c572a51

1012345425 has 96 divisors (see below), whose sum is σ = 2289020160. Its totient is φ = 427161600.

The previous prime is 1012345387. The next prime is 1012345429. The reversal of 1012345425 is 5245432101.

1012345425 is a `hidden beast` number, since 1 + 0 + 1 + 234 + 5 + 425 = 666.

1012345425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012345425 - 29 = 1012344913 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1012345429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53185 + ... + 69665.

It is an arithmetic number, because the mean of its divisors is an integer number (23843960).

Almost surely, 21012345425 is an apocalyptic number.

1012345425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012345425 is an abundant number, since it is smaller than the sum of its proper divisors (1276674735).

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

1012345425 is a wasteful number, since it uses less digits than its factorization.

1012345425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520 (or 16509 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1012345425 is about 31817.3761488907. The cubic root of 1012345425 is about 1004.0983224741.

Adding to 1012345425 its reverse (5245432101), we get a palindrome (6257777526).

The spelling of 1012345425 in words is "one billion, twelve million, three hundred forty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 175 189 195 225 273 315 325 351 455 525 585 675 819 945 975 1365 1575 1755 2275 2457 2925 4095 4725 6825 8775 12285 16481 20475 49443 61425 82405 115367 148329 214253 247215 346101 412025 444987 576835 642759 741645 1038303 1071265 1236075 1499771 1730505 1928277 2224935 2884175 3114909 3213795 3708225 4499313 5191515 5356325 5784831 7498855 8652525 9641385 11124675 13497939 15574545 16068975 22496565 25957575 28924155 37494275 40493817 48206925 67489695 77872725 112482825 144620775 202469085 337448475 1012345425