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99060638121 = 36116572
BaseRepresentation
bin101110001000001111…
…0010110000110101001
3100110200201001211000000
41130100132112012221
53110334010404441
6113301405133213
710104546350064
oct1342036260651
9313621054000
1099060638121
1139014169675
121724725a209
139459013b03
144b1a3b98db
15289ba352b6
hex17107961a9

99060638121 has 21 divisors (see below), whose sum is σ = 148535756551. Its totient is φ = 66034760112.

The previous prime is 99060638119. The next prime is 99060638177. The reversal of 99060638121 is 12183606099.

It is a happy number.

The square root of 99060638121 is 314739.

It is a perfect power (a square), and thus also a powerful number.

99060638121 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 0 + 638 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72535955625 + 26524682496 = 269325^2 + 162864^2 .

It is not a de Polignac number, because 99060638121 - 21 = 99060638119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99060638111) 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 20 ways as a sum of consecutive naturals, for example, 8492125 + ... + 8503781.

Almost surely, 299060638121 is an apocalyptic number.

99060638121 is the 314739-th square number.

99060638121 is the 157370-th centered octagonal number.

It is an amenable number.

99060638121 is a deficient number, since it is larger than the sum of its proper divisors (49475118430).

99060638121 is an frugal number, since it uses more digits than its factorization.

99060638121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23332 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 99060638121 in words is "ninety-nine billion, sixty million, six hundred thirty-eight thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 11657 34971 104913 314739 944217 2832651 8497953 135885649 407656947 1222970841 3668912523 11006737569 33020212707 99060638121