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210200012121220 = 225112241360412901
BaseRepresentation
bin101111110010110100000001…
…000011011110010010000100
31000120020220222020221211002021
4233302310001003132102010
5210022404111100334340
62023020315200252524
762163310152652012
oct5762640103362204
91016226866854067
10210200012121220
1160a81362a37400
121b6aa206911144
139039a120bb794
1439c9a406ab8b2
151947bb854ce4a
hexbf2d010de484

210200012121220 has 72 divisors (see below), whose sum is σ = 487210485878424. Its totient is φ = 76119204480000.

The previous prime is 210200012121191. The next prime is 210200012121221. The reversal of 210200012121220 is 22121210002012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34267536407104 + 175932475714116 = 5853848^2 + 13263954^2 .

It is a super-2 number, since 2×2102000121212202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210200012121194 and 210200012121203.

It is not an unprimeable number, because it can be changed into a prime (210200012121221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179623231 + ... + 180789670.

It is an arithmetic number, because the mean of its divisors is an integer number (6766812303867).

Almost surely, 2210200012121220 is an apocalyptic number.

210200012121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200012121220 is an abundant number, since it is smaller than the sum of its proper divisors (277010473757204).

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

210200012121220 is a wasteful number, since it uses less digits than its factorization.

210200012121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360413173 (or 360413160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210200012121220 its reverse (22121210002012), we get a palindrome (232321222123232).

The spelling of 210200012121220 in words is "two hundred ten trillion, two hundred billion, twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 241 242 482 484 605 964 1205 1210 2410 2420 2651 4820 5302 10604 13255 26510 29161 53020 58322 116644 145805 291610 583220 360412901 720825802 1441651604 1802064505 3604129010 3964541911 7208258020 7929083822 15858167644 19822709555 39645419110 43609961021 79290838220 86859509141 87219922042 173719018282 174439844084 218049805105 347438036564 434297545705 436099610210 868595091410 872199220420 955454600551 1737190182820 1910909201102 3821818402204 4777273002755 9554546005510 10510000606061 19109092011020 21020001212122 42040002424244 52550003030305 105100006060610 210200012121220