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132122141103232 = 277147457746767
BaseRepresentation
bin11110000010101000010101…
…010010011001010010000000
3122022210202100011220001201001
4132002220111102121102000
5114304142121110300412
61145000023530421344
736554336552360440
oct3602502522312200
9568722304801631
10132122141103232
113910975a265735
121299a1a5891854
1358950ab7834b7
14248aa624a0120
151041c004b2957
hex782a15499480

132122141103232 has 32 divisors (see below), whose sum is σ = 300813803406720. Its totient is φ = 56623774758144.

The previous prime is 132122141103221. The next prime is 132122141103241. The reversal of 132122141103232 is 232301141221231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 132122141103232.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 73728872488 + ... + 73728874279.

It is an arithmetic number, because the mean of its divisors is an integer number (9400431356460).

Almost surely, 2132122141103232 is an apocalyptic number.

It is an amenable number.

132122141103232 is an abundant number, since it is smaller than the sum of its proper divisors (168691662303488).

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

132122141103232 is an equidigital number, since it uses as much as digits as its factorization.

132122141103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147457746788 (or 147457746776 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132122141103232 its reverse (232301141221231), we get a palindrome (364423282324463).

The spelling of 132122141103232 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred forty-one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 147457746767 294915493534 589830987068 1032204227369 1179661974136 2064408454738 2359323948272 4128816909476 4718647896544 8257633818952 9437295793088 16515267637904 18874591586176 33030535275808 66061070551616 132122141103232