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217352152106 = 25310173327697
BaseRepresentation
bin1100101001101100110…
…0101010010000101010
3202210000122102100021122
43022123030222100222
512030114122331411
6243503350535242
721463121544515
oct3123314522052
9683018370248
10217352152106
11841a6694981
123615a967522
131765b2701bb
14a73c86bd7c
1559c1a0c9db
hex329b32a42a

217352152106 has 32 divisors (see below), whose sum is σ = 335938405968. Its totient is φ = 105422054400.

The previous prime is 217352152103. The next prime is 217352152109. The reversal of 217352152106 is 601251253712.

It is an interprime number because it is at equal distance from previous prime (217352152103) and next prime (217352152109).

It can be written as a sum of positive squares in 8 ways, for example, as 184912900225 + 32439251881 = 430015^2 + 180109^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (217352152103) 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 15 ways as a sum of consecutive naturals, for example, 7833650 + ... + 7861346.

Almost surely, 2217352152106 is an apocalyptic number.

217352152106 is a deficient number, since it is larger than the sum of its proper divisors (118586253862).

217352152106 is a wasteful number, since it uses less digits than its factorization.

217352152106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28586.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 217352152106 in words is "two hundred seventeen billion, three hundred fifty-two million, one hundred fifty-two thousand, one hundred six".

Divisors: 1 2 53 101 106 202 733 1466 5353 10706 27697 38849 55394 74033 77698 148066 1467941 2797397 2935882 3923749 5594794 7847498 20301901 40603802 148262041 296524082 1076000753 2050492001 2152001506 4100984002 108676076053 217352152106