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202001023122000 = 24353283118964089
BaseRepresentation
bin101101111011100000000111…
…001110100011101001010000
3222111020002221121122220001220
4231323200013032203221100
5202434041043404401000
61553341553335325040
760356043443234544
oct5573400716435120
9874202847586056
10202001023122000
115940017543a903
121a7a5199b20780
1388937cb79788b
1437c4c8a31da24
15185479bcb91a0
hexb7b8073a3a50

202001023122000 has 160 divisors (see below), whose sum is σ = 653552545376640. Its totient is φ = 53676596505600.

The previous prime is 202001023121981. The next prime is 202001023122011. The reversal of 202001023122000 is 221320100202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 57784045 + ... + 61180044.

It is an arithmetic number, because the mean of its divisors is an integer number (4084703408604).

Almost surely, 2202001023122000 is an apocalyptic number.

202001023122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001023122000 is an abundant number, since it is smaller than the sum of its proper divisors (451551522254640).

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

202001023122000 is a wasteful number, since it uses less digits than its factorization.

202001023122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118964398 (or 118964382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202001023122000 its reverse (221320100202), we get a palindrome (202222343222202).

The spelling of 202001023122000 in words is "two hundred two trillion, one billion, twenty-three million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 283 300 375 400 500 566 600 750 849 1000 1132 1200 1415 1500 1698 2000 2264 2830 3000 3396 4245 4528 5660 6000 6792 7075 8490 11320 13584 14150 16980 21225 22640 28300 33960 35375 42450 56600 67920 70750 84900 106125 113200 141500 169800 212250 283000 339600 424500 566000 849000 1698000 118964089 237928178 356892267 475856356 594820445 713784534 951712712 1189640890 1427569068 1784461335 1903425424 2379281780 2855138136 2974102225 3568922670 4758563560 5710276272 5948204450 7137845340 8922306675 9517127120 11896408900 14275690680 14870511125 17844613350 23792817800 28551381360 29741022250 33666837187 35689226700 44611533375 47585635600 59482044500 67333674374 71378453400 89223066750 101000511561 118964089000 134667348748 142756906800 168334185935 178446133500 202001023122 237928178000 269334697496 336668371870 356892267000 404002046244 505002557805 538669394992 673336743740 713784534000 808004092488 841670929675 1010005115610 1346673487480 1616008184976 1683341859350 2020010231220 2525012789025 2693346974960 3366683718700 4040020462440 4208354648375 5050025578050 6733367437400 8080040924880 8416709296750 10100051156100 12625063945125 13466734874800 16833418593500 20200102312200 25250127890250 33666837187000 40400204624400 50500255780500 67333674374000 101000511561000 202001023122000