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221000201210100 = 2235213209519270461
BaseRepresentation
bin110010001111111110011110…
…011111010000100011110100
31001222111102011000010112002010
4302033332132133100203310
5212431331403002210400
62102010031342444220
764356511002343014
oct6217763637204364
91058442130115063
10221000201210100
1164465728135414
12209533a0293670
1396412ca42a480
143c80676d03c44
151a83ac8184450
hexc8ff9e7d08f4

221000201210100 has 144 divisors (see below), whose sum is σ = 688619793012480. Its totient is φ = 54399588748800.

The previous prime is 221000201210059. The next prime is 221000201210177. The reversal of 221000201210100 is 1012102000122.

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

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, 816988870 + ... + 817259330.

It is an arithmetic number, because the mean of its divisors is an integer number (4782081895920).

Almost surely, 2221000201210100 is an apocalyptic number.

221000201210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000201210100 is an abundant number, since it is smaller than the sum of its proper divisors (467619591802380).

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

221000201210100 is a wasteful number, since it uses less digits than its factorization.

221000201210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480010 (or 480003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221000201210100 its reverse (1012102000122), we get a palindrome (222012303210222).

The spelling of 221000201210100 in words is "two hundred twenty-one trillion, two hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 209519 270461 419038 540922 628557 811383 838076 1047595 1081844 1257114 1352305 1622766 2095190 2514228 2704610 2723747 3142785 3245532 3515993 4056915 4190380 5237975 5409220 5447494 6285570 6761525 7031986 8113830 8171241 10475950 10547979 10894988 12571140 13523050 13618735 14063972 15713925 16227660 16342482 17579965 20284575 20951900 21095958 27046100 27237470 31427850 32684964 35159930 40569150 40856205 42191916 52739895 54474940 62855700 68093675 70319860 81138300 81712410 87899825 105479790 136187350 163424820 175799650 204281025 210959580 263699475 272374700 351599300 408562050 527398950 817124100 1054797900 56666718259 113333436518 170000154777 226666873036 283333591295 340000309554 566667182590 680000619108 736667337367 850000773885 1133334365180 1416667956475 1473334674734 1700001547770 2210002012101 2833335912950 2946669349468 3400003095540 3683336686835 4250003869425 4420004024202 5666671825900 7366673373670 8500007738850 8840008048404 11050010060505 14733346747340 17000015477700 18416683434175 22100020121010 36833366868350 44200040242020 55250050302525 73666733736700 110500100605050 221000201210100