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999099900 = 2233523773137
BaseRepresentation
bin111011100011010…
…000110111111100
32120121222112102000
4323203100313330
54021232144100
6243050102300
733521131461
oct7343206774
92517875360
10999099900
11472a695a7
1223a71a990
1312bcb3596
1496995668
155caa4900
hex3b8d0dfc

999099900 has 288 divisors, whose sum is σ = 3368326080. Its totient is φ = 253808640.

The previous prime is 999099887. The next prime is 999099901. The reversal of 999099900 is 9990999.

999099900 divided by its reverse (9990999) gives a square (100 = 102).

It can be divided in two parts, 999099 and 900, that added together give a palindrome (999999).

It is a super-2 number, since 2×9990999002 = 1996401220360020000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999099901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7292632 + ... + 7292768.

Almost surely, 2999099900 is an apocalyptic number.

999099900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999099900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684163040).

999099900 is an abundant number, since it is smaller than the sum of its proper divisors (2369226180).

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

999099900 is a wasteful number, since it uses less digits than its factorization.

999099900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 999099900 is about 31608.5415671144. The cubic root of 999099900 is about 999.6998766016.

The spelling of 999099900 in words is "nine hundred ninety-nine million, ninety-nine thousand, nine hundred".