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99993105 = 325191071093
BaseRepresentation
bin1011111010111…
…00011000010001
320222011011202100
411331130120101
5201044234410
613531111013
72322633042
oct575343021
9228134670
1099993105
1151497333
12295a2469
1317940624
14d3cc8c9
158ba28c0
hex5f5c611

99993105 has 48 divisors (see below), whose sum is σ = 184317120. Its totient is φ = 50004864.

The previous prime is 99993097. The next prime is 99993109. The reversal of 99993105 is 50139999.

It is not a de Polignac number, because 99993105 - 23 = 99993097 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 (99993109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90939 + ... + 92031.

It is an arithmetic number, because the mean of its divisors is an integer number (3839940).

Almost surely, 299993105 is an apocalyptic number.

99993105 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

99993105 is a deficient number, since it is larger than the sum of its proper divisors (84324015).

99993105 is a wasteful number, since it uses less digits than its factorization.

99993105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 98415, while the sum is 45.

The square root of 99993105 is about 9999.6552440572. The cubic root of 99993105 is about 464.1482151977.

The spelling of 99993105 in words is "ninety-nine million, nine hundred ninety-three thousand, one hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 107 171 285 321 535 855 963 1093 1605 2033 3279 4815 5465 6099 9837 10165 16395 18297 20767 30495 49185 62301 91485 103835 116951 186903 311505 350853 584755 934515 1052559 1754265 2222069 5262795 6666207 11110345 19998621 33331035 99993105