Base | Representation |
---|---|
bin | 101110100010000000… |
… | …1101001110111000100 |
3 | 100112220222111222111100 |
4 | 1131010001221313010 |
5 | 3114121414011400 |
6 | 113523302540100 |
7 | 10135151002632 |
oct | 1350401516704 |
9 | 315828458440 |
10 | 99925532100 |
11 | 394183a3289 |
12 | 17448a37630 |
13 | 95662683b4 |
14 | 4b9d1d8352 |
15 | 28ec92a100 |
hex | 1744069dc4 |
99925532100 has 243 divisors, whose sum is σ = 322290676981. Its totient is φ = 25895731200.
The previous prime is 99925532093. The next prime is 99925532101. The reversal of 99925532100 is 123552999.
The square root of 99925532100 is 316110.
It is a perfect power (a square), and thus also a powerful number.
99925532100 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 5 + 532 + 100 = 666.
It can be written as a sum of positive squares in 13 ways, for example, as 54495167364 + 45430364736 = 233442^2 + 213144^2 .
It is a super-2 number, since 2×999255321002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (99925532101) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 388815172 + ... + 388815428.
Almost surely, 299925532100 is an apocalyptic number.
99925532100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
99925532100 is the 316110-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 99925532100
99925532100 is an abundant number, since it is smaller than the sum of its proper divisors (222365144881).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99925532100 is a wasteful number, since it uses less digits than its factorization.
99925532100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 616 (or 308 counting only the distinct ones).
The product of its (nonzero) digits is 218700, while the sum is 45.
It can be divided in two parts, 99925 and 532100, that added together give a square (632025 = 7952).
The spelling of 99925532100 in words is "ninety-nine billion, nine hundred twenty-five million, five hundred thirty-two thousand, one hundred".
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