Search a number
-
+
99134100 = 2232521337229
BaseRepresentation
bin1011110100010…
…10101010010100
320220112112102100
411322022222110
5200334242400
613500442100
72312424462
oct572125224
9226475370
1099134100
1150a5aa0a
1229249330
13176cc640
14d247832
158a83100
hex5e8aa94

99134100 has 216 divisors, whose sum is σ = 345177560. Its totient is φ = 23639040.

The previous prime is 99134099. The next prime is 99134111. The reversal of 99134100 is 143199.

It can be written as a sum of positive squares in 12 ways, for example, as 5702544 + 93431556 = 2388^2 + 9666^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 432786 + ... + 433014.

Almost surely, 299134100 is an apocalyptic number.

99134100 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 99134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172588780).

99134100 is an abundant number, since it is smaller than the sum of its proper divisors (246043460).

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

99134100 is a wasteful number, since it uses less digits than its factorization.

99134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 99134100 is about 9956.6108691663. The cubic root of 99134100 is about 462.8152805238.

Adding to 99134100 its reverse (143199), we get a palindrome (99277299).

The spelling of 99134100 in words is "ninety-nine million, one hundred thirty-four thousand, one hundred".