Search a number
-
+
2132101405344 = 25322209389639
BaseRepresentation
bin11111000001101011001…
…001011001101010100000
321112211022210221112210110
4133001223021121222200
5234413020424432334
64311250204331320
7310016313631431
oct37015311315240
97484283845713
102132101405344
11752245728949
122a5270543b40
131260968c9601
14752a108d488
153a6da584ae9
hex1f06b259aa0

2132101405344 has 24 divisors (see below), whose sum is σ = 5596766189280. Its totient is φ = 710700468416.

The previous prime is 2132101405319. The next prime is 2132101405349. The reversal of 2132101405344 is 4435041012312.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2132101405349) 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 3 ways as a sum of consecutive naturals, for example, 11104694724 + ... + 11104694915.

It is an arithmetic number, because the mean of its divisors is an integer number (233198591220).

Almost surely, 22132101405344 is an apocalyptic number.

2132101405344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2132101405344 is an abundant number, since it is smaller than the sum of its proper divisors (3464664783936).

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

2132101405344 is a wasteful number, since it uses less digits than its factorization.

2132101405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22209389652 (or 22209389644 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2132101405344 its reverse (4435041012312), we get a palindrome (6567142417656).

The spelling of 2132101405344 in words is "two trillion, one hundred thirty-two billion, one hundred one million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22209389639 44418779278 66628168917 88837558556 133256337834 177675117112 266512675668 355350234224 533025351336 710700468448 1066050702672 2132101405344