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1217472901 = 17237412777
BaseRepresentation
bin100100010010001…
…0010100110000101
310010211220000211221
41020210102212011
54443133113101
6320450400341
742112230451
oct11044224605
93124800757
101217472901
11575260457
1229b8900b1
13165301588
14b799b661
1571d3caa1
hex48912985

1217472901 has 24 divisors (see below), whose sum is σ = 1361142216. Its totient is φ = 1087303680.

The previous prime is 1217472881. The next prime is 1217472943. The reversal of 1217472901 is 1092747121.

It can be written as a sum of positive squares in 12 ways, for example, as 136773025 + 1080699876 = 11695^2 + 32874^2 .

It is not a de Polignac number, because 1217472901 - 211 = 1217470853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217472601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437025 + ... + 439801.

It is an arithmetic number, because the mean of its divisors is an integer number (56714259).

Almost surely, 21217472901 is an apocalyptic number.

It is an amenable number.

1217472901 is a deficient number, since it is larger than the sum of its proper divisors (143669315).

1217472901 is a wasteful number, since it uses less digits than its factorization.

1217472901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 1217472901 is about 34892.3043234465. The cubic root of 1217472901 is about 1067.7914386166.

The spelling of 1217472901 in words is "one billion, two hundred seventeen million, four hundred seventy-two thousand, nine hundred one".

Divisors: 1 17 37 41 289 629 697 1517 2777 10693 11849 25789 47209 102749 113857 438413 802553 1746733 1935569 4212709 29694461 32904673 71616053 1217472901