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99331000 = 2353175843
BaseRepresentation
bin1011110101110…
…10101110111000
320220220112111221
411322322232320
5200412043000
613505001424
72314204516
oct572725670
9226815457
1099331000
115108493a
1229323274
131776b152
14d2994b6
158ac161a
hex5ebabb8

99331000 has 64 divisors (see below), whose sum is σ = 246149280. Its totient is φ = 37388800.

The previous prime is 99330947. The next prime is 99331009. The reversal of 99331000 is 13399.

It is a super-2 number, since 2×993310002 = 19733295122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99331009) 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 15 ways as a sum of consecutive naturals, for example, 14079 + ... + 19921.

Almost surely, 299331000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123074640).

99331000 is an abundant number, since it is smaller than the sum of its proper divisors (146818280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99331000 is a wasteful number, since it uses less digits than its factorization.

99331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 99331000 is about 9966.4938669524. The cubic root of 99331000 is about 463.1214922184.

Adding to 99331000 its reverse (13399), we get a palindrome (99344399).

The spelling of 99331000 in words is "ninety-nine million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 5843 8500 11686 17000 23372 29215 46744 58430 99331 116860 146075 198662 233720 292150 397324 496655 584300 730375 794648 993310 1168600 1460750 1986620 2483275 2921500 3973240 4966550 5843000 9933100 12416375 19866200 24832750 49665500 99331000