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202122212110020 = 223253761949028563
BaseRepresentation
bin101101111101010000111110…
…101001110110111011000100
3222111122200202111010100111200
4231331100332221312323010
5202443032242300010040
61553513355024102500
760400563560522406
oct5575207651667304
9874580674110450
10202122212110020
115944760446a254
121a80477ba64a30
1388a20730bc047
1437caaa552ab76
1518579e1332630
hexb7d43ea76ec4

202122212110020 has 144 divisors (see below), whose sum is σ = 630691680440640. Its totient is φ = 52357797474048.

The previous prime is 202122212109967. The next prime is 202122212110033. The reversal of 202122212110020 is 20011212221202.

It is a happy number.

202122212110020 is a `hidden beast` number, since 2 + 0 + 212 + 221 + 211 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202122212109975 and 202122212110002.

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, 20391742 + ... + 28636821.

Almost surely, 2202122212110020 is an apocalyptic number.

202122212110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122212110020 is an abundant number, since it is smaller than the sum of its proper divisors (428569468330620).

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

202122212110020 is a wasteful number, since it uses less digits than its factorization.

202122212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49029234 (or 49029229 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202122212110020 its reverse (20011212221202), we get a palindrome (222133424331222).

The spelling of 202122212110020 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 619 666 740 1110 1238 1332 1665 1857 2220 2476 3095 3330 3714 5571 6190 6660 7428 9285 11142 12380 18570 22284 22903 27855 37140 45806 55710 68709 91612 111420 114515 137418 206127 229030 274836 343545 412254 458060 687090 824508 1030635 1374180 2061270 4122540 49028563 98057126 147085689 196114252 245142815 294171378 441257067 490285630 588342756 735428445 882514134 980571260 1470856890 1765028268 1814056831 2206285335 2941713780 3628113662 4412570670 5442170493 7256227324 8825141340 9070284155 10884340986 16326511479 18140568310 21768681972 27210852465 30348680497 32653022958 36281136620 54421704930 60697360994 65306045916 81632557395 91046041491 108843409860 121394721988 151743402485 163265114790 182092082982 273138124473 303486804970 326530229580 364184165964 455230207455 546276248946 606973609940 910460414910 1092552497892 1122901178389 1365690622365 1820920829820 2245802356778 2731381244730 3368703535167 4491604713556 5462762489460 5614505891945 6737407070334 10106110605501 11229011783890 13474814140668 16843517675835 20212221211002 22458023567780 33687035351670 40424442422004 50530553027505 67374070703340 101061106055010 202122212110020