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20021144040300 = 223521330716721911
BaseRepresentation
bin1001000110101100010010…
…01011011011001101101100
32121220000001221201001011110
410203112021023123031230
510111011300333242200
6110325330412152020
74134323420265144
oct443261113331554
977800057631143
1020021144040300
116419a12951507
1222b4294768610
13b22ca79bbba0
144d3058467924
1524abe1286b50
hex1235892db36c

20021144040300 has 144 divisors (see below), whose sum is σ = 62587039784192. Its totient is φ = 4912228281600.

The previous prime is 20021144040299. The next prime is 20021144040301. The reversal of 20021144040300 is 304044112002.

It is an interprime number because it is at equal distance from previous prime (20021144040299) and next prime (20021144040301).

It is not an unprimeable number, because it can be changed into a prime (20021144040301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7163656 + ... + 9558255.

Almost surely, 220021144040300 is an apocalyptic number.

20021144040300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021144040300 is an abundant number, since it is smaller than the sum of its proper divisors (42565895743892).

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

20021144040300 is a wasteful number, since it uses less digits than its factorization.

20021144040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722248 (or 16722241 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20021144040300 its reverse (304044112002), we get a palindrome (20325188152302).

The spelling of 20021144040300 in words is "twenty trillion, twenty-one billion, one hundred forty-four million, forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 307 325 390 614 650 780 921 975 1228 1300 1535 1842 1950 3070 3684 3900 3991 4605 6140 7675 7982 9210 11973 15350 15964 18420 19955 23025 23946 30700 39910 46050 47892 59865 79820 92100 99775 119730 199550 239460 299325 399100 598650 1197300 16721911 33443822 50165733 66887644 83609555 100331466 167219110 200662932 217384843 250828665 334438220 418047775 434769686 501657330 652154529 836095550 869539372 1003314660 1086924215 1254143325 1304309058 1672191100 2173848430 2508286650 2608618116 3260772645 4347696860 5016573300 5133626677 5434621075 6521545290 10267253354 10869242150 13043090580 15400880031 16303863225 20534506708 21738484300 25668133385 30801760062 32607726450 51336266770 61603520124 65215452900 66737146801 77004400155 102672533540 128340666925 133474293602 154008800310 200211440403 256681333850 266948587204 308017600620 333685734005 385022000775 400422880806 513362667700 667371468010 770044001550 800845761612 1001057202015 1334742936020 1540088003100 1668428670025 2002114404030 3336857340050 4004228808060 5005286010075 6673714680100 10010572020150 20021144040300