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20000212020 = 223251712495233
BaseRepresentation
bin10010101000000110…
…110000010000110100
31220121211221001002100
4102220012300100310
5311430023241040
613104333542100
71305423666015
oct225006602064
956554831070
1020000212020
118533664348
123a62044930
131b697502a9
14d7a33d00c
157c0cadb30
hex4a81b0434

20000212020 has 144 divisors (see below), whose sum is σ = 64299690000. Its totient is φ = 5014683648.

The previous prime is 20000211991. The next prime is 20000212031. The reversal of 20000212020 is 2021200002.

It can be written as a sum of positive squares in 8 ways, for example, as 2062431396 + 17937780624 = 45414^2 + 133932^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20000211993 and 20000212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3819324 + ... + 3824556.

It is an arithmetic number, because the mean of its divisors is an integer number (446525625).

Almost surely, 220000212020 is an apocalyptic number.

20000212020 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 20000212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32149845000).

20000212020 is an abundant number, since it is smaller than the sum of its proper divisors (44299477980).

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

20000212020 is a wasteful number, since it uses less digits than its factorization.

20000212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20000212020 its reverse (2021200002), we get a palindrome (22021412022).

The spelling of 20000212020 in words is "twenty billion, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1249 1530 2498 3060 3747 4996 5233 6245 7494 10466 11241 12490 14988 15699 18735 20932 21233 22482 24980 26165 31398 37470 42466 44964 47097 52330 56205 62796 63699 74940 78495 84932 88961 94194 104660 106165 112410 127398 156990 177922 188388 191097 212330 224820 235485 254796 266883 313980 318495 355844 382194 424660 444805 470970 533766 636990 764388 800649 889610 941940 955485 1067532 1273980 1334415 1601298 1779220 1910970 2668830 3202596 3821940 4003245 5337660 6536017 8006490 13072034 16012980 19608051 26144068 32680085 39216102 58824153 65360170 78432204 98040255 111112289 117648306 130720340 196080510 222224578 235296612 294120765 333336867 392161020 444449156 555561445 588241530 666673734 1000010601 1111122890 1176483060 1333347468 1666684335 2000021202 2222245780 3333368670 4000042404 5000053005 6666737340 10000106010 20000212020