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102244230200 = 23527287925367
BaseRepresentation
bin101111100111000111…
…0110010010000111000
3100202220120120001022202
41133032032302100320
53133344010331300
6114545332405332
710246464421460
oct1371616622070
9322816501282
10102244230200
113a3a8225502
1217995476848
1398457591c8
144d3d132ba0
1529d6291ad5
hex17ce3b2438

102244230200 has 96 divisors (see below), whose sum is σ = 271782604800. Its totient is φ = 35041607040.

The previous prime is 102244230173. The next prime is 102244230227. The reversal of 102244230200 is 2032442201.

It is an interprime number because it is at equal distance from previous prime (102244230173) and next prime (102244230227).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4017917 + ... + 4043283.

It is an arithmetic number, because the mean of its divisors is an integer number (2831068800).

Almost surely, 2102244230200 is an apocalyptic number.

102244230200 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 102244230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135891302400).

102244230200 is an abundant number, since it is smaller than the sum of its proper divisors (169538374600).

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

102244230200 is a wasteful number, since it uses less digits than its factorization.

102244230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28269 (or 28260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102244230200 its reverse (2032442201), we get a palindrome (104276672401).

It can be divided in two parts, 10224 and 4230200, that added together give a palindrome (4240424).

The spelling of 102244230200 in words is "one hundred two billion, two hundred forty-four million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2879 5758 11516 14395 20153 23032 25367 28790 40306 50734 57580 71975 80612 100765 101468 115160 126835 143950 161224 177569 201530 202936 253670 287900 355138 403060 503825 507340 575800 634175 710276 806120 887845 1007650 1014680 1268350 1420552 1775690 2015300 2536700 3551380 4030600 4439225 5073400 7102760 8878450 17756900 35513800 73031593 146063186 292126372 365157965 511221151 584252744 730315930 1022442302 1460631860 1825789825 2044884604 2556105755 2921263720 3651579650 4089769208 5112211510 7303159300 10224423020 12780528775 14606318600 20448846040 25561057550 51122115100 102244230200