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21145004300 = 2252724878861
BaseRepresentation
bin10011101100010101…
…110010100100001100
32000120122001111212102
4103230111302210030
5321301110114200
613414110454232
71345664366600
oct235425624414
960518044772
1021145004300
118a70892772
124121504378
131cbc984b84
1410483bb500
1583b5416d5
hex4ec57290c

21145004300 has 108 divisors (see below), whose sum is σ = 53491670064. Its totient is φ = 7234012800.

The previous prime is 21145004273. The next prime is 21145004327. The reversal of 21145004300 is 340054112.

It is an interprime number because it is at equal distance from previous prime (21145004273) and next prime (21145004327).

It is a super-2 number, since 2×211450043002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2381870 + ... + 2390730.

Almost surely, 221145004300 is an apocalyptic number.

21145004300 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 21145004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26745835032).

21145004300 is an abundant number, since it is smaller than the sum of its proper divisors (32346665764).

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

21145004300 is a wasteful number, since it uses less digits than its factorization.

21145004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 21145004300 its reverse (340054112), we get a palindrome (21485058412).

The spelling of 21145004300 in words is "twenty-one billion, one hundred forty-five million, four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 487 490 700 974 980 1225 1948 2435 2450 3409 4870 4900 6818 8861 9740 12175 13636 17045 17722 23863 24350 34090 35444 44305 47726 48700 62027 68180 85225 88610 95452 119315 124054 170450 177220 221525 238630 248108 310135 340900 434189 443050 477260 596575 620270 868378 886100 1193150 1240540 1550675 1736756 2170945 2386300 3101350 4315307 4341890 6202700 8630614 8683780 10854725 17261228 21576535 21709450 30207149 43153070 43418900 60414298 86306140 107882675 120828596 151035745 211450043 215765350 302071490 422900086 431530700 604142980 755178725 845800172 1057250215 1510357450 2114500430 3020714900 4229000860 5286251075 10572502150 21145004300