Search a number
-
+
132122100311320 = 2357471864643969
BaseRepresentation
bin11110000010101000010010…
…110110110010010100011000
3122022210202020100010121201111
4132002220102312302110120
5114304142030134430240
61145000015512230104
736554335545553540
oct3602502266622430
9568722210117644
10132122100311320
1139109739234109
121299a19409b334
1358950a31a0382
14248aa5acc2320
151041bebb061ea
hex782a12db2518

132122100311320 has 32 divisors (see below), whose sum is σ = 339742543658400. Its totient is φ = 45299005820928.

The previous prime is 132122100311207. The next prime is 132122100311321. The reversal of 132122100311320 is 23113001221231.

132122100311320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132122100311291 and 132122100311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122100311321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235932321705 + ... + 235932322264.

It is an arithmetic number, because the mean of its divisors is an integer number (10616954489325).

Almost surely, 2132122100311320 is an apocalyptic number.

132122100311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122100311320 is an abundant number, since it is smaller than the sum of its proper divisors (207620443347080).

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

132122100311320 is a wasteful number, since it uses less digits than its factorization.

132122100311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471864643987 (or 471864643983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 132122100311320 its reverse (23113001221231), we get a palindrome (155235101532551).

The spelling of 132122100311320 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 471864643969 943729287938 1887458575876 2359323219845 3303052507783 3774917151752 4718646439690 6606105015566 9437292879380 13212210031132 16515262538915 18874585758760 26424420062264 33030525077830 66061050155660 132122100311320