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132000121110031 = 2928324481656993
BaseRepresentation
bin11110000000110110101100…
…010101000011111000001111
3122022101002101101202011110121
4132000312230111003320033
5114300142222001010111
61144424003554445411
736542460024503146
oct3600665425037017
9568332341664417
10132000121110031
1139071a34148849
121297a611593867
135886733c417a5
142484ba8b7675d
15103d95ceea871
hex780dac543e0f

132000121110031 has 16 divisors (see below), whose sum is σ = 137040170960160. Its totient is φ = 126992664207360.

The previous prime is 132000121109977. The next prime is 132000121110037. The reversal of 132000121110031 is 130011121000231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132000121110031 - 215 = 132000121077263 is a prime.

It is a super-2 number, since 2×1320001211100312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132000121109987 and 132000121110014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000121110037) 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 15 ways as a sum of consecutive naturals, for example, 200587071 + ... + 201244063.

It is an arithmetic number, because the mean of its divisors is an integer number (8565010685010).

Almost surely, 2132000121110031 is an apocalyptic number.

132000121110031 is a deficient number, since it is larger than the sum of its proper divisors (5040049850129).

132000121110031 is a wasteful number, since it uses less digits than its factorization.

132000121110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681786.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 132000121110031 its reverse (130011121000231), we get a palindrome (262011242110262).

The spelling of 132000121110031 in words is "one hundred thirty-two trillion, one hundred twenty-one million, one hundred ten thousand, thirty-one".

Divisors: 1 29 283 8207 24481 656993 709949 6928123 19052797 185929019 200915567 5391941551 16083845633 466431523357 4551728314139 132000121110031