Search a number
-
+
201000012002220 = 2235127103925387829
BaseRepresentation
bin101101101100111011110110…
…010100001011001110101100
3222100200102011102122021000010
4231230323312110023032230
5202321141011033032340
61551254044125133220
760223525450142454
oct5554736624131654
9870612142567003
10201000012002220
1159054698796732
121a6631953ba210
1388202b1b9a712
14378c6498b2d64
1518387118c6b80
hexb6cef650b3ac

201000012002220 has 96 divisors (see below), whose sum is σ = 567777492172800. Its totient is φ = 53126771975424.

The previous prime is 201000012002129. The next prime is 201000012002233. The reversal of 201000012002220 is 22200210000102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201000012002196 and 201000012002205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4776735 + ... + 20611094.

It is an arithmetic number, because the mean of its divisors is an integer number (5914348876800).

Almost surely, 2201000012002220 is an apocalyptic number.

201000012002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000012002220 is an abundant number, since it is smaller than the sum of its proper divisors (366777480170580).

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

201000012002220 is a wasteful number, since it uses less digits than its factorization.

201000012002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25389007 (or 25389005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201000012002220 its reverse (22200210000102), we get a palindrome (223200222002322).

The spelling of 201000012002220 in words is "two hundred one trillion, twelve million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1039 1270 1524 1905 2078 2540 3117 3810 4156 5195 6234 7620 10390 12468 15585 20780 31170 62340 131953 263906 395859 527812 659765 791718 1319530 1583436 1979295 2639060 3958590 7917180 25387829 50775658 76163487 101551316 126939145 152326974 253878290 304653948 380817435 507756580 761634870 1523269740 3224254283 6448508566 9672762849 12897017132 16121271415 19345525698 26377954331 32242542830 38691051396 48363814245 52755908662 64485085660 79133862993 96727628490 105511817324 131889771655 158267725986 193455256980 263779543310 316535451972 395669314965 527559086620 791338629930 1582677259860 3350000200037 6700000400074 10050000600111 13400000800148 16750001000185 20100001200222 33500002000370 40200002400444 50250003000555 67000004000740 100500006001110 201000012002220