Search a number
-
+
114320100 = 22352616247
BaseRepresentation
bin1101101000001…
…10001011100100
321222010001200210
412310012023210
5213231220400
615202135420
72555463516
oct664061344
9258101623
10114320100
1159592424
1232351570
131a8b883b
141127bbb6
15a082950
hex6d062e4

114320100 has 72 divisors (see below), whose sum is σ = 336242368. Its totient is φ = 29980800.

The previous prime is 114320083. The next prime is 114320113. The reversal of 114320100 is 1023411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15177 + ... + 21423.

Almost surely, 2114320100 is an apocalyptic number.

114320100 is a gapful number since it is divisible by the number (10) 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 114320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168121184).

114320100 is an abundant number, since it is smaller than the sum of its proper divisors (221922268).

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

114320100 is a wasteful number, since it uses less digits than its factorization.

114320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114320100 is about 10692.0578000682. The cubic root of 114320100 is about 485.3341658518.

Adding to 114320100 its reverse (1023411), we get a palindrome (115343511).

The spelling of 114320100 in words is "one hundred fourteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 6247 9150 12494 18300 18741 24988 31235 37482 62470 74964 93705 124940 156175 187410 312350 374820 381067 468525 624700 762134 937050 1143201 1524268 1874100 1905335 2286402 3810670 4572804 5716005 7621340 9526675 11432010 19053350 22864020 28580025 38106700 57160050 114320100