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99980001 = 341121012
BaseRepresentation
bin1011111010110…
…01001011100001
320222010111210000
411331121023201
5201043330001
613530530213
72322546612
oct575311341
9228114700
1099980001
1151488500
1229596969
1317937684
14d3c7c09
158b9da86
hex5f592e1

99980001 has 45 divisors (see below), whose sum is σ = 165806179. Its totient is φ = 59994000.

The previous prime is 99979993. The next prime is 99980003. The reversal of 99980001 is 10008999.

Multipling 99980001 by its sum of digits (36), we get a square (3599280036 = 599942).

It can be divided in two parts, 99 and 980001, that added together give a square (980100 = 9902).

The square root of 99980001 is 9999.

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., 96059601 + 3920400 = 9801^2 + 1980^2 .

It is not a de Polignac number, because 99980001 - 23 = 99979993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99980003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 989851 + ... + 989951.

Almost surely, 299980001 is an apocalyptic number.

99980001 is the 9999-th square number.

99980001 is the 5000-th centered octagonal number.

It is an amenable number.

99980001 is a deficient number, since it is larger than the sum of its proper divisors (65826178).

99980001 is a wasteful number, since it uses less digits than its factorization.

99980001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The cubic root of 99980001 is about 464.1279389200.

The spelling of 99980001 in words is "ninety-nine million, nine hundred eighty thousand, one".

Divisors: 1 3 9 11 27 33 81 99 101 121 297 303 363 891 909 1089 1111 2727 3267 3333 8181 9801 9999 10201 12221 29997 30603 36663 89991 91809 109989 112211 275427 329967 336633 826281 989901 1009899 1234321 3029697 3702963 9089091 11108889 33326667 99980001