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132121213001 = 6746718612269
BaseRepresentation
bin111101100001100001…
…0011011100001001001
3110122000202101000211022
41323003002123201021
54131041012304001
6140410132042225
712355041531551
oct1730302334111
9418022330738
10132121213001
1151039a86928
1221733163375
13c5c74abc5b
1465750b8161
1536841bb11b
hex1ec309b849

132121213001 has 16 divisors (see below), whose sum is σ = 134511773760. Its totient is φ = 129743570880.

The previous prime is 132121212989. The next prime is 132121213009. The reversal of 132121213001 is 100312121231.

It is a cyclic number.

It is not a de Polignac number, because 132121213001 - 210 = 132121211977 is a prime.

It is a super-2 number, since 2×1321212130012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132121213009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58227695 + ... + 58229963.

It is an arithmetic number, because the mean of its divisors is an integer number (8406985860).

Almost surely, 2132121213001 is an apocalyptic number.

It is an amenable number.

132121213001 is a deficient number, since it is larger than the sum of its proper divisors (2390560759).

132121213001 is a wasteful number, since it uses less digits than its factorization.

132121213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 132121213001 its reverse (100312121231), we get a palindrome (232433334232).

The spelling of 132121213001 in words is "one hundred thirty-two billion, one hundred twenty-one million, two hundred thirteen thousand, one".

Divisors: 1 67 467 1861 2269 31289 124687 152023 869087 1059623 4222609 58228829 70994741 282914803 1971958403 132121213001