Search a number
-
+
1012210200000 = 2632552919391
BaseRepresentation
bin11101011101011000110…
…11011110110111000000
310120202200200001212000200
432232230123132313000
5113041001302400000
62053000345245200
7133062340511526
oct16565433366700
93522620055020
101012210200000
113603042a697a
1214420b193800
13745b2b4925c
1436dc3d40316
151b4e36a8500
hexebac6dedc0

1012210200000 has 504 divisors, whose sum is σ = 3751657378560. Its totient is φ = 260601600000.

The previous prime is 1012210199981. The next prime is 1012210200037. The reversal of 1012210200000 is 20122101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52190305 + ... + 52209695.

It is an arithmetic number, because the mean of its divisors is an integer number (7443764640).

Almost surely, 21012210200000 is an apocalyptic number.

1012210200000 is a gapful number since it is divisible by the number (10) 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 1012210200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875828689280).

1012210200000 is an abundant number, since it is smaller than the sum of its proper divisors (2739447178560).

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

1012210200000 is an equidigital number, since it uses as much as digits as its factorization.

1012210200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19463 (or 19430 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012210200000 its reverse (20122101), we get a palindrome (1012230322101).

The spelling of 1012210200000 in words is "one trillion, twelve billion, two hundred ten million, two hundred thousand".