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21402024300 = 22325279301013
BaseRepresentation
bin10011111011101010…
…001111100101101100
32001020112200111000200
4103323222033211230
5322312404234200
613455411353500
71355235130206
oct237352174554
961215614020
1021402024300
119092980698
1241935b2890
132030cb4907
1410705a3776
15853db0800
hex4fba8f96c

21402024300 has 108 divisors (see below), whose sum is σ = 67932839520. Its totient is φ = 5634944640.

The previous prime is 21402024283. The next prime is 21402024307. The reversal of 21402024300 is 342020412.

21402024300 is a `hidden beast` number, since 21 + 402 + 0 + 243 + 0 + 0 = 666.

It is a super-3 number, since 3×214020243003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21402024307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79407 + ... + 221606.

Almost surely, 221402024300 is an apocalyptic number.

21402024300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21402024300 is an abundant number, since it is smaller than the sum of its proper divisors (46530815220).

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

21402024300 is a wasteful number, since it uses less digits than its factorization.

21402024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301112 (or 301102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21402024300 its reverse (342020412), we get a palindrome (21744044712).

The spelling of 21402024300 in words is "twenty-one billion, four hundred two million, twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 150 158 180 225 237 300 316 395 450 474 711 790 900 948 1185 1422 1580 1975 2370 2844 3555 3950 4740 5925 7110 7900 11850 14220 17775 23700 35550 71100 301013 602026 903039 1204052 1505065 1806078 2709117 3010130 3612156 4515195 5418234 6020260 7525325 9030390 10836468 13545585 15050650 18060780 22575975 23780027 27091170 30101300 45151950 47560054 54182340 67727925 71340081 90303900 95120108 118900135 135455850 142680162 214020243 237800270 270911700 285360324 356700405 428040486 475600540 594500675 713400810 856080972 1070101215 1189001350 1426801620 1783502025 2140202430 2378002700 3567004050 4280404860 5350506075 7134008100 10701012150 21402024300