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102302200200 = 23352643265169
BaseRepresentation
bin101111101000110101…
…1111011000110001000
3100210001121122020012210
41133101223323012020
53134003330401300
6114555203105120
710251100232304
oct1372153730610
9323047566183
10102302200200
113a427a1a1a2
12179b09721a0
139854775195
144d46b02d04
1529db3e3050
hex17d1afb188

102302200200 has 96 divisors (see below), whose sum is σ = 317631232800. Its totient is φ = 27238056960.

The previous prime is 102302200199. The next prime is 102302200201. The reversal of 102302200200 is 2002203201.

It is an interprime number because it is at equal distance from previous prime (102302200199) and next prime (102302200201).

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

It is not an unprimeable number, because it can be changed into a prime (102302200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253216 + ... + 518384.

It is an arithmetic number, because the mean of its divisors is an integer number (3308658675).

Almost surely, 2102302200200 is an apocalyptic number.

102302200200 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 102302200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158815616400).

102302200200 is an abundant number, since it is smaller than the sum of its proper divisors (215329032600).

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

102302200200 is a wasteful number, since it uses less digits than its factorization.

102302200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265831 (or 265822 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102302200200 its reverse (2002203201), we get a palindrome (104304403401).

The spelling of 102302200200 in words is "one hundred two billion, three hundred two million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 643 1286 1929 2572 3215 3858 5144 6430 7716 9645 12860 15432 16075 19290 25720 32150 38580 48225 64300 77160 96450 128600 192900 265169 385800 530338 795507 1060676 1325845 1591014 2121352 2651690 3182028 3977535 5303380 6364056 6629225 7955070 10606760 13258450 15910140 19887675 26516900 31820280 39775350 53033800 79550700 159101400 170503667 341007334 511511001 682014668 852518335 1023022002 1364029336 1705036670 2046044004 2557555005 3410073340 4092088008 4262591675 5115110010 6820146680 8525183350 10230220020 12787775025 17050366700 20460440040 25575550050 34100733400 51151100100 102302200200