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220210000101200 = 24527112136392311
BaseRepresentation
bin110010000100011110100010…
…110101001111111101010000
31001212200212111112100000200002
4302010132202311033331100
5212330410040011214300
62100203024422345132
764245435041626424
oct6204364265177520
91055625445300602
10220210000101200
116419059a21562a
122084620b58b1a8
1395b49385b6315
143c54314110b84
151a6d27a2775d5
hexc847a2d4ff50

220210000101200 has 120 divisors (see below), whose sum is σ = 536948378211456. Its totient is φ = 86771772864000.

The previous prime is 220210000101131. The next prime is 220210000101239. The reversal of 220210000101200 is 2101000012022.

It is a happy number.

220210000101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31253045 + ... + 37645355.

Almost surely, 2220210000101200 is an apocalyptic number.

220210000101200 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 220210000101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268474189105728).

220210000101200 is an abundant number, since it is smaller than the sum of its proper divisors (316738378110256).

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

220210000101200 is a wasteful number, since it uses less digits than its factorization.

220210000101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393613 (or 6393602 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220210000101200 its reverse (2101000012022), we get a palindrome (222311000113222).

The spelling of 220210000101200 in words is "two hundred twenty trillion, two hundred ten billion, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1213 1420 1775 2426 2840 3550 4852 5680 6065 7100 9704 12130 14200 19408 24260 28400 30325 48520 60650 86123 97040 121300 172246 242600 344492 430615 485200 688984 861230 1377968 1722460 2153075 3444920 4306150 6392311 6889840 8612300 12784622 17224600 25569244 31961555 34449200 51138488 63923110 102276976 127846220 159807775 255692440 319615550 453854081 511384880 639231100 907708162 1278462200 1815416324 2269270405 2556924400 3630832648 4538540810 7261665296 7753873243 9077081620 11346352025 15507746486 18154163240 22692704050 31015492972 36308326480 38769366215 45385408100 62030985944 77538732430 90770816200 124061971888 155077464860 181541632400 193846831075 310154929720 387693662150 550525000253 620309859440 775387324300 1101050000506 1550774648600 2202100001012 2752625001265 3101549297200 4404200002024 5505250002530 8808400004048 11010500005060 13763125006325 22021000010120 27526250012650 44042000020240 55052500025300 110105000050600 220210000101200