Search a number
-
+
1322101110132 = 22321137214271709
BaseRepresentation
bin10011001111010011010…
…111011111010101110100
311200101120111111011201200
4103033103113133111310
5133130130341011012
62451210451052500
7164342620004655
oct23172327372564
94611514434650
101322101110132
1146a777678370
12194294ba1130
139789ab8b2ba
1447dc092952c
15245ce3773dc
hex133d35df574

1322101110132 has 216 divisors, whose sum is σ = 3751811874720. Its totient is φ = 389307582720.

The previous prime is 1322101110089. The next prime is 1322101110139. The reversal of 1322101110132 is 2310111012231.

1322101110132 is a `hidden beast` number, since 1 + 322 + 101 + 110 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322101110139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 773610094 + ... + 773611802.

It is an arithmetic number, because the mean of its divisors is an integer number (17369499420).

Almost surely, 21322101110132 is an apocalyptic number.

1322101110132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322101110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875905937360).

1322101110132 is an abundant number, since it is smaller than the sum of its proper divisors (2429710764588).

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

1322101110132 is a wasteful number, since it uses less digits than its factorization.

1322101110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1322101110132 its reverse (2310111012231), we get a palindrome (3632212122363).

The spelling of 1322101110132 in words is "one trillion, three hundred twenty-two billion, one hundred one million, one hundred ten thousand, one hundred thirty-two".