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20102500 = 2254111743
BaseRepresentation
bin100110010101…
…1110101100100
31101211022110001
41030223311210
520121240000
61554511044
7332603605
oct114536544
941738401
1020102500
1110390340
126895484
13421ac92
142953dac
151b7146a
hex132bd64

20102500 has 120 divisors (see below), whose sum is σ = 51958368. Its totient is φ = 6720000.

The previous prime is 20102497. The next prime is 20102503. The reversal of 20102500 is 520102.

It is an interprime number because it is at equal distance from previous prime (20102497) and next prime (20102503).

It is a super-2 number, since 2×201025002 = 808221012500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20102503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467479 + ... + 467521.

Almost surely, 220102500 is an apocalyptic number.

20102500 is a gapful number since it is divisible by the number (20) 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 20102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25979184).

20102500 is an abundant number, since it is smaller than the sum of its proper divisors (31855868).

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

20102500 is a wasteful number, since it uses less digits than its factorization.

20102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 20102500 is about 4483.5811579584. The cubic root of 20102500 is about 271.9046847404.

Adding to 20102500 its reverse (520102), we get a palindrome (20622602).

It can be divided in two parts, 20102 and 500, that added together give a palindrome (20602).

The spelling of 20102500 in words is "twenty million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 43 44 50 55 68 85 86 100 110 125 170 172 187 215 220 250 275 340 374 425 430 473 500 550 625 731 748 850 860 935 946 1075 1100 1250 1375 1462 1700 1870 1892 2125 2150 2365 2500 2750 2924 3655 3740 4250 4300 4675 4730 5375 5500 6875 7310 8041 8500 9350 9460 10625 10750 11825 13750 14620 16082 18275 18700 21250 21500 23375 23650 26875 27500 32164 36550 40205 42500 46750 47300 53750 59125 73100 80410 91375 93500 107500 116875 118250 160820 182750 201025 233750 236500 295625 365500 402050 456875 467500 591250 804100 913750 1005125 1182500 1827500 2010250 4020500 5025625 10051250 20102500