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2130302212224 = 27316733219533
BaseRepresentation
bin11110111111111111111…
…010000001100010000000
321112122200102110001211020
4132333333322001202000
5234400324331242344
64310351453345440
7306623606014434
oct36777772014200
97478612401736
102130302212224
1175150207548a
122a4a49a98280
13125b6ac2c8b4
14751701469c4
153a63263a719
hex1efffe81880

2130302212224 has 64 divisors (see below), whose sum is σ = 5692499346240. Its totient is φ = 705848615936.

The previous prime is 2130302212223. The next prime is 2130302212243. The reversal of 2130302212224 is 4222122030312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2130302212194 and 2130302212203.

It is not an unprimeable number, because it can be changed into a prime (2130302212223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16545639 + ... + 16673894.

It is an arithmetic number, because the mean of its divisors is an integer number (88945302285).

Almost surely, 22130302212224 is an apocalyptic number.

2130302212224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130302212224 is an abundant number, since it is smaller than the sum of its proper divisors (3562197134016).

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

2130302212224 is a wasteful number, since it uses less digits than its factorization.

2130302212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33219717 (or 33219705 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2130302212224 its reverse (4222122030312), we get a palindrome (6352424242536).

The spelling of 2130302212224 in words is "two trillion, one hundred thirty billion, three hundred two million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 64128 33219533 66439066 99658599 132878132 199317198 265756264 398634396 531512528 797268792 1063025056 1594537584 2126050112 3189075168 4252100224 5547662011 6378150336 11095324022 12756300672 16642986033 22190648044 33285972066 44381296088 66571944132 88762592176 133143888264 177525184352 266287776528 355050368704 532575553056 710100737408 1065151106112 2130302212224