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100201616247 = 31092291338109
BaseRepresentation
bin101110101010001111…
…0110101001101110111
3100120122020000111202010
41131110132311031313
53120203103204442
6114010524215303
710145042453655
oct1352436651567
9316566014663
10100201616247
113954a2223a7
121750539a533
1395ab5115b5
144bc7b43dd5
152916cb2b9c
hex17547b5377

100201616247 has 16 divisors (see below), whose sum is σ = 135416732000. Its totient is φ = 65899142784.

The previous prime is 100201616227. The next prime is 100201616269. The reversal of 100201616247 is 742616102001.

It is not a de Polignac number, because 100201616247 - 210 = 100201615223 is a prime.

It is a super-2 number, since 2×1002016162472 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201616227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594172 + ... + 743937.

It is an arithmetic number, because the mean of its divisors is an integer number (8463545750).

Almost surely, 2100201616247 is an apocalyptic number.

100201616247 is a deficient number, since it is larger than the sum of its proper divisors (35215115753).

100201616247 is a wasteful number, since it uses less digits than its factorization.

100201616247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338450.

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 100201616247 its reverse (742616102001), we get a palindrome (842817718248).

The spelling of 100201616247 in words is "one hundred billion, two hundred one million, six hundred sixteen thousand, two hundred forty-seven".

Divisors: 1 3 109 229 327 687 24961 74883 1338109 4014327 145853881 306426961 437561643 919280883 33400538749 100201616247