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132242121242231 = 71121333136283991
BaseRepresentation
bin11110000100011000000100…
…101010010011011001110111
3122100020020000210200122000212
4132010120010222103121313
5114313123331014222411
61145131105233300035
736566115020623160
oct3604300452233167
9570206023618025
10132242121242231
1139155628994a00
12129b94aaa0461b
1358a34bc8057a0
1424927a4d16767
151044dc384368b
hex784604a93677

132242121242231 has 48 divisors (see below), whose sum is σ = 179441466484224. Its totient is φ = 94831836264000.

The previous prime is 132242121241957. The next prime is 132242121242243.

It is a happy number.

132242121242231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132242121242231 - 210 = 132242121241207 is a prime.

It is a super-2 number, since 2×1322421212422312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242121242281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14497355 + ... + 21786636.

It is an arithmetic number, because the mean of its divisors is an integer number (3738363885088).

Almost surely, 2132242121242231 is an apocalyptic number.

132242121242231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132242121242231 is a deficient number, since it is larger than the sum of its proper divisors (47199345241993).

132242121242231 is a wasteful number, since it uses less digits than its factorization.

132242121242231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36284364 (or 36284353 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 132242121242231 in words is "one hundred thirty-two trillion, two hundred forty-two billion, one hundred twenty-one million, two hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 331 847 1001 1573 2317 3641 4303 11011 25487 30121 40051 47333 280357 331331 520663 3644641 36283991 253987937 399123901 471691883 2793867307 3301843181 4390362911 5188610713 12010001021 30732540377 36320274991 57074717843 84070007147 132110011231 156130013273 399523024901 924770078617 1092910092911 1453210123541 1717430146003 10172470864787 12022011022021 18891731606033 132242121242231