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99115101541 = 417333115637
BaseRepresentation
bin101110001001110111…
…0000110110101100101
3100110211111112211202201
41130103232012311211
53110441431222131
6113311032334501
710106110314421
oct1342356066545
9313744484681
1099115101541
1139041988865
1217261544431
1394673a29a1
144b23715b81
1528a16e2761
hex1713b86d65

99115101541 has 8 divisors (see below), whose sum is σ = 102923402904. Its totient is φ = 95373031680.

The previous prime is 99115101457. The next prime is 99115101577. The reversal of 99115101541 is 14510151199.

It can be written as a sum of positive squares in 4 ways, for example, as 701137441 + 98413964100 = 26479^2 + 313710^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-99115101541 is a prime.

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 99115101541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99115104541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16554826 + ... + 16560811.

It is an arithmetic number, because the mean of its divisors is an integer number (12865425363).

Almost surely, 299115101541 is an apocalyptic number.

It is an amenable number.

99115101541 is a deficient number, since it is larger than the sum of its proper divisors (3808301363).

99115101541 is a wasteful number, since it uses less digits than its factorization.

99115101541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33115751.

The product of its (nonzero) digits is 8100, while the sum is 37.

The spelling of 99115101541 in words is "ninety-nine billion, one hundred fifteen million, one hundred one thousand, five hundred forty-one".

Divisors: 1 41 73 2993 33115637 1357741117 2417441501 99115101541