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1252104105 = 357231179307
BaseRepresentation
bin100101010100001…
…1001011110101001
310020021001110221010
41022220121132221
510031014312410
6324124534133
743012465200
oct11250313651
93207043833
101252104105
1159286438a
122ab3b1349
1316c538505
14bc414237
1574dcdc20
hex4aa197a9

1252104105 has 96 divisors (see below), whose sum is σ = 2426941440. Its totient is φ = 549037440.

The previous prime is 1252104083. The next prime is 1252104109. The reversal of 1252104105 is 5014012521.

It is not a de Polignac number, because 1252104105 - 212 = 1252100009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1252104109) 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, 4078362 + ... + 4078668.

It is an arithmetic number, because the mean of its divisors is an integer number (25280640).

Almost surely, 21252104105 is an apocalyptic number.

1252104105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252104105 is a deficient number, since it is larger than the sum of its proper divisors (1174837335).

1252104105 is a wasteful number, since it uses less digits than its factorization.

1252104105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1252104105 is about 35385.0830859559. The cubic root of 1252104105 is about 1077.8214271025.

Adding to 1252104105 its reverse (5014012521), we get a palindrome (6266116626).

The spelling of 1252104105 in words is "one billion, two hundred fifty-two million, one hundred four thousand, one hundred five".

Divisors: 1 3 5 7 15 21 31 35 49 93 105 147 155 179 217 245 307 465 537 651 735 895 921 1085 1253 1519 1535 2149 2685 3255 3759 4557 4605 5549 6265 6447 7595 8771 9517 10745 15043 16647 18795 22785 26313 27745 28551 32235 38843 43855 45129 47585 54953 66619 75215 83235 116529 131565 142755 164859 194215 199857 225645 271901 274765 333095 384671 466333 582645 815703 824295 999285 1154013 1359505 1398999 1703543 1923355 2331665 2692697 4078515 5110629 5770065 6994995 8078091 8517715 11924801 13463485 25553145 35774403 40390455 59624005 83473607 178872015 250420821 417368035 1252104105