Search a number
-
+
1301222125 = 53719234183
BaseRepresentation
bin100110110001111…
…0001001011101101
310100200110221012001
41031203301023231
510131103102000
6333041412301
744150130340
oct11543611355
93320427161
101301222125
11608562495
1230393a091
13179775328
14c4b5c457
157938246a
hex4d8f12ed

1301222125 has 128 divisors (see below), whose sum is σ = 2113413120. Its totient is φ = 779328000.

The previous prime is 1301222107. The next prime is 1301222129. The reversal of 1301222125 is 5212221031.

It is not a de Polignac number, because 1301222125 - 27 = 1301221997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15677334 + ... + 15677416.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 21301222125 is an apocalyptic number.

It is an amenable number.

1301222125 is a deficient number, since it is larger than the sum of its proper divisors (812190995).

1301222125 is a wasteful number, since it uses less digits than its factorization.

1301222125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1301222125 is about 36072.4565977977. The cubic root of 1301222125 is about 1091.7347806952.

Adding to 1301222125 its reverse (5212221031), we get a palindrome (6513443156).

The spelling of 1301222125 in words is "one billion, three hundred one million, two hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 19 23 25 35 41 83 95 115 125 133 161 175 205 287 415 437 475 575 581 665 779 805 875 943 1025 1435 1577 1909 2075 2185 2375 2875 2905 3059 3325 3403 3895 4025 4715 5125 5453 6601 7175 7885 9545 10375 10925 11039 13363 14525 15295 16625 17015 17917 19475 20125 23575 23821 27265 33005 35875 36271 39425 47725 54625 55195 64657 66815 72625 76475 78269 85075 89585 97375 117875 119105 125419 136325 165025 181355 197125 238625 253897 275975 323285 334075 382375 391345 425375 447925 452599 547883 595525 627095 681625 825125 906775 1269485 1379875 1487111 1616425 1670375 1956725 2239625 2262995 2739415 2977625 3135475 4533875 6347425 7435555 8082125 9783625 10409777 11314975 13697075 15677375 31737125 37177775 52048885 56574875 68485375 185888875 260244425 1301222125