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99121077225 = 325213921512
BaseRepresentation
bin101110001010000010…
…0111001101111101001
3100110211220210102212100
41130110010321233221
53110444443432400
6113311404404013
710106212153302
oct1342404715751
9313756712770
1099121077225
113904529a445
1217263546609
1394686b58b1
144b2442d7a9
1528a1ec3100
hex1714139be9

99121077225 has 81 divisors (see below), whose sum is σ = 180015398199. Its totient is φ = 52136676000.

The previous prime is 99121077113. The next prime is 99121077227. The reversal of 99121077225 is 52277012199.

The square root of 99121077225 is 314835.

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

It can be written as a sum of positive squares in only one way, i.e., 35683587801 + 63437489424 = 188901^2 + 251868^2 .

It is not a de Polignac number, because 99121077225 - 229 = 98584206313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (99121077227) 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 80 ways as a sum of consecutive naturals, for example, 656430900 + ... + 656431050.

Almost surely, 299121077225 is an apocalyptic number.

99121077225 is the 314835-th square number.

99121077225 is the 157418-th centered octagonal number.

It is an amenable number.

99121077225 is a deficient number, since it is larger than the sum of its proper divisors (80894320974).

99121077225 is a wasteful number, since it uses less digits than its factorization.

99121077225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 99121077225 in words is "ninety-nine billion, one hundred twenty-one million, seventy-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 139 151 225 417 453 695 755 1251 1359 2085 2265 3475 3775 6255 6795 10425 11325 19321 20989 22801 31275 33975 57963 62967 68403 96605 104945 114005 173889 188901 205209 289815 314835 342015 483025 524725 570025 869445 944505 1026045 1449075 1574175 1710075 2917471 3169339 4347225 4722525 5130225 8752413 9508017 14587355 15846695 26257239 28524051 43762065 47540085 72936775 79233475 131286195 142620255 218810325 237700425 440538121 656430975 713101275 1321614363 2202690605 3964843089 6608071815 11013453025 19824215445 33040359075 99121077225