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210020202022100 = 225243794571352849
BaseRepresentation
bin101111110000001100100011…
…100010011000010011010100
31000112121201211222112100212112
4233300030203202120103110
5210011432333204201400
62022401540542010152
762144313251224541
oct5760144342302324
91015551758470775
10210020202022100
1160a1208190a5a8
121b67b3a4876958
139025a87906822
1439c1063bc5bc8
151943192856835
hexbf03238984d4

210020202022100 has 144 divisors (see below), whose sum is σ = 473279312352000. Its totient is φ = 80838404075520.

The previous prime is 210020202022091. The next prime is 210020202022133. The reversal of 210020202022100 is 1220202020012.

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, 154566476 + ... + 155919324.

Almost surely, 2210020202022100 is an apocalyptic number.

210020202022100 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 210020202022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236639656176000).

210020202022100 is an abundant number, since it is smaller than the sum of its proper divisors (263259110329900).

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

210020202022100 is a wasteful number, since it uses less digits than its factorization.

210020202022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353442 (or 1353435 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 210020202022100 its reverse (1220202020012), we get a palindrome (211240404042112).

The spelling of 210020202022100 in words is "two hundred ten trillion, twenty billion, two hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 79 86 100 158 172 215 316 395 430 457 790 860 914 1075 1580 1828 1975 2150 2285 3397 3950 4300 4570 6794 7900 9140 11425 13588 16985 19651 22850 33970 36103 39302 45700 67940 72206 78604 84925 98255 144412 169850 180515 196510 339700 361030 393020 491275 722060 902575 982550 1352849 1552429 1805150 1965100 2705698 3104858 3610300 5411396 6209716 6764245 7762145 13528490 15524290 27056980 31048580 33821225 38810725 58172507 67642450 77621450 106875071 116345014 135284900 155242900 213750142 232690028 290862535 427500284 534375355 581725070 618251993 1068750710 1163450140 1236503986 1454312675 2137501420 2473007972 2671876775 2908625350 3091259965 4595628053 5343753550 5817250700 6182519930 9191256106 10687507100 12365039860 15456299825 18382512212 22978140265 26584835699 30912599650 45956280530 48841907447 53169671398 61825199300 91912561060 97683814894 106339342796 114890701325 132924178495 195367629788 229781402650 244209537235 265848356990 459562805300 488419074470 531696713980 664620892475 976838148940 1221047686175 1329241784950 2100202020221 2442095372350 2658483569900 4200404040442 4884190744700 8400808080884 10501010101105 21002020202210 42004040404420 52505050505525 105010101011050 210020202022100