Search a number
-
+
221012021010000 = 2435411669733397
BaseRepresentation
bin110010010000001001011111…
…000000001101111001010000
31001222112112122202011120100210
4302100021133000031321100
5212432030104334310000
62102015304254044120
764360406625106023
oct6220113700157120
91058475582146323
10221012021010000
116446a7430a7a90
122095573a7a9640
13964246214accc
143c81078a151ba
151a8406abac350
hexc9025f00de50

221012021010000 has 200 divisors, whose sum is σ = 778315934350944. Its totient is φ = 53578671680000.

The previous prime is 221012021009993. The next prime is 221012021010019. The reversal of 221012021010000 is 10120210122.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334536699 + ... + 335196698.

Almost surely, 2221012021010000 is an apocalyptic number.

221012021010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012021010000 is an abundant number, since it is smaller than the sum of its proper divisors (557303913340944).

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

221012021010000 is a wasteful number, since it uses less digits than its factorization.

221012021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669733439 (or 669733418 counting only the distinct ones).

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

Adding to 221012021010000 its reverse (10120210122), we get a palindrome (221022141220122).

The spelling of 221012021010000 in words is "two hundred twenty-one trillion, twelve billion, twenty-one million, ten thousand".