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21300321112220 = 22515128330781181
BaseRepresentation
bin1001101011111010111100…
…00100101101000010011100
32210102021212000001011001002
410311331132010231002130
510242441024201042340
6113145122112205432
74325616546063443
oct465753604550234
983367760034032
1021300321112220
116872462a73627
12248018a539878
13bb67c4a8b6b7
14538d26313d5a
1526e10c08a715
hex135f5e12d09c

21300321112220 has 96 divisors (see below), whose sum is σ = 45333753755136. Its totient is φ = 8406221472000.

The previous prime is 21300321112159. The next prime is 21300321112261. The reversal of 21300321112220 is 2221112300312.

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

It is a junction number, because it is equal to n+sod(n) for n = 21300321112192 and 21300321112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262340030 + ... + 262421210.

It is an arithmetic number, because the mean of its divisors is an integer number (472226601616).

Almost surely, 221300321112220 is an apocalyptic number.

21300321112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300321112220 is an abundant number, since it is smaller than the sum of its proper divisors (24033432642916).

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

21300321112220 is a wasteful number, since it uses less digits than its factorization.

21300321112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81931 (or 81929 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21300321112220 its reverse (2221112300312), we get a palindrome (23521433412532).

The spelling of 21300321112220 in words is "twenty-one trillion, three hundred billion, three hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 151 283 302 307 566 604 614 755 1132 1228 1415 1510 1535 2830 3020 3070 5660 6140 42733 46357 81181 85466 86881 92714 162362 170932 173762 185428 213665 231785 324724 347524 405905 427330 434405 463570 811810 854660 868810 927140 1623620 1737620 12258331 13119031 22974223 24516662 24922567 26238062 45948446 49033324 49845134 52476124 61291655 65595155 91896892 99690268 114871115 122583310 124612835 131190310 229742230 245166620 249225670 262380620 459484460 498451340 3469107673 3763307617 6938215346 7053086461 7526615234 13876430692 14106172922 15053230468 17345538365 18816538085 28212345844 34691076730 35265432305 37633076170 69382153460 70530864610 75266152340 141061729220 1065016055611 2130032111222 4260064222444 5325080278055 10650160556110 21300321112220