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99982724101 = 139779288441
BaseRepresentation
bin101110100011101101…
…1110100110000000101
3100120001222010122011121
41131013123310300011
53114231034132401
6113533104433541
710136444063311
oct1350733646005
9316058118147
1099982724101
11394477064a7
12174640188b1
139575071210
144ba6a44b41
152902975ca1
hex17476f4c05

99982724101 has 8 divisors (see below), whose sum is σ = 108783742424. Its totient is φ = 91340282880.

The previous prime is 99982724099. The next prime is 99982724131. The reversal of 99982724101 is 10142728999.

It can be written as a sum of positive squares in 4 ways, for example, as 27764223876 + 72218500225 = 166626^2 + 268735^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 99982724101 - 21 = 99982724099 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 (99982724131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39642960 + ... + 39645481.

It is an arithmetic number, because the mean of its divisors is an integer number (13597967803).

Almost surely, 299982724101 is an apocalyptic number.

It is an amenable number.

99982724101 is a deficient number, since it is larger than the sum of its proper divisors (8801018323).

99982724101 is a wasteful number, since it uses less digits than its factorization.

99982724101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79288551.

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 99982724101 in words is "ninety-nine billion, nine hundred eighty-two million, seven hundred twenty-four thousand, one hundred one".

Divisors: 1 13 97 1261 79288441 1030749733 7690978777 99982724101