Search a number
-
+
10210011212200 = 2352229222926009
BaseRepresentation
bin1001010010010011010000…
…0101110110100110101000
31100011001211020101012200211
42110210310011312212220
52314240100332242300
633414225302110504
72102435411242012
oct224446405664650
940131736335624
1010210011212200
113287050178108
12118a92811b434
13590a5258c3a7
1427424aa511b2
1512a8bc23c4ba
hex949341769a8

10210011212200 has 48 divisors (see below), whose sum is σ = 23841936769500. Its totient is φ = 4066170385920.

The previous prime is 10210011212131. The next prime is 10210011212209. The reversal of 10210011212200 is 221211001201.

It can be written as a sum of positive squares in 6 ways, for example, as 6902421544516 + 3307589667684 = 2627246^2 + 1818678^2 .

It is not an unprimeable number, because it can be changed into a prime (10210011212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111417205 + ... + 111508804.

Almost surely, 210210011212200 is an apocalyptic number.

10210011212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210011212200 is an abundant number, since it is smaller than the sum of its proper divisors (13631925557300).

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

10210011212200 is a wasteful number, since it uses less digits than its factorization.

10210011212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222926254 (or 222926245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10210011212200 its reverse (221211001201), we get a palindrome (10431222213401).

The spelling of 10210011212200 in words is "ten trillion, two hundred ten billion, eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1832 2290 4580 5725 9160 11450 22900 45800 222926009 445852018 891704036 1114630045 1783408072 2229260090 4458520180 5573150225 8917040360 11146300450 22292600900 44585201800 51050056061 102100112122 204200224244 255250280305 408400448488 510500560610 1021001121220 1276251401525 2042002242440 2552502803050 5105005606100 10210011212200