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99603991201 = 11213222072
BaseRepresentation
bin101110011000011011…
…1000100101010100001
3100112002120111000022011
41130300313010222201
53112442110204301
6113431335112521
710124164645621
oct1346067045241
9315076430264
1099603991201
1139272946900
1217379212741
139514767a00
144b6c618881
1528ce5b3a51
hex1730dc4aa1

99603991201 has 27 divisors (see below), whose sum is σ = 118605334323. Its totient is φ = 83545896720.

The previous prime is 99603991183. The next prime is 99603991237. The reversal of 99603991201 is 10219930699.

The square root of 99603991201 is 315601.

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., 14734318225 + 84869672976 = 121385^2 + 291324^2 .

It is not a de Polignac number, because 99603991201 - 213 = 99603983009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99603991271) 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 26 ways as a sum of consecutive naturals, for example, 45129840 + ... + 45132046.

Almost surely, 299603991201 is an apocalyptic number.

99603991201 is the 315601-st square number.

99603991201 is the 157801-st centered octagonal number.

It is an amenable number.

99603991201 is a deficient number, since it is larger than the sum of its proper divisors (19001343122).

99603991201 is an equidigital number, since it uses as much as digits as its factorization.

99603991201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 49.

Multiplying 99603991201 by its sum of digits (49), we get a square (4880595568849 = 22092072).

The spelling of 99603991201 in words is "ninety-nine billion, six hundred three million, nine hundred ninety-one thousand, two hundred one".

Divisors: 1 11 13 121 143 169 1573 1859 2207 20449 24277 28691 267047 315601 372983 3471611 4102813 4870849 45130943 53579339 63321037 589372729 696531407 823173481 7661845477 9054908291 99603991201