Search a number
-
+
114102300 = 2235213171721
BaseRepresentation
bin1101100110100…
…01000000011100
321221200222221010
412303101000130
5213202233200
615153335220
72553565524
oct663210034
9257628833
10114102300
1159453824
1232267510
131a840670
1411222684
15a03d150
hex6cd101c

114102300 has 144 divisors (see below), whose sum is σ = 376663392. Its totient is φ = 26419200.

The previous prime is 114102299. The next prime is 114102301. The reversal of 114102300 is 3201411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114102299) and next prime (114102301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114102301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65440 + ... + 67160.

It is an arithmetic number, because the mean of its divisors is an integer number (2615718).

Almost surely, 2114102300 is an apocalyptic number.

114102300 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 114102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188331696).

114102300 is an abundant number, since it is smaller than the sum of its proper divisors (262561092).

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

114102300 is a wasteful number, since it uses less digits than its factorization.

114102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1761 counting only the distinct ones).

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

The square root of 114102300 is about 10681.8678141980. The cubic root of 114102300 is about 485.0257541147.

Adding to 114102300 its reverse (3201411), we get a palindrome (117303711).

The spelling of 114102300 in words is "one hundred fourteen million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1721 1950 2210 2550 2652 3315 3442 3900 4420 5100 5163 5525 6630 6884 8605 10326 11050 13260 16575 17210 20652 22100 22373 25815 29257 33150 34420 43025 44746 51630 58514 66300 67119 86050 87771 89492 103260 111865 117028 129075 134238 146285 172100 175542 223730 258150 268476 292570 335595 351084 380341 438855 447460 516300 559325 585140 671190 731425 760682 877710 1118650 1141023 1342380 1462850 1521364 1677975 1755420 1901705 2194275 2237300 2282046 2925700 3355950 3803410 4388550 4564092 5705115 6711900 7606820 8777100 9508525 11410230 19017050 22820460 28525575 38034100 57051150 114102300