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73097101 = 71131113271
BaseRepresentation
bin1000101101101…
…01111110001101
312002112201101001
410112311332031
5122203101401
611130420301
71545213040
oct426657615
9162481331
1073097101
1138296a30
1220591691
13121b442c
1499cac57
15663d601
hex45b5f8d

73097101 has 32 divisors (see below), whose sum is σ = 95256576. Its totient is φ = 54432000.

The previous prime is 73097099. The next prime is 73097107. The reversal of 73097101 is 10179037.

73097101 = 4692 + 4702 + ... + 6852.

It is a happy number.

It is not a de Polignac number, because 73097101 - 21 = 73097099 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73097101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73097107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269596 + ... + 269866.

It is an arithmetic number, because the mean of its divisors is an integer number (2976768).

Almost surely, 273097101 is an apocalyptic number.

It is an amenable number.

73097101 is a deficient number, since it is larger than the sum of its proper divisors (22159475).

73097101 is a wasteful number, since it uses less digits than its factorization.

73097101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 1323, while the sum is 28.

The square root of 73097101 is about 8549.6842631760. The cubic root of 73097101 is about 418.1191425674.

The spelling of 73097101 in words is "seventy-three million, ninety-seven thousand, one hundred one".

Divisors: 1 7 11 31 77 113 217 271 341 791 1243 1897 2387 2981 3503 8401 8701 20867 24521 30623 38533 58807 92411 214361 269731 336853 646877 949313 2357971 6645191 10442443 73097101