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1332122430032 = 24292223443939
BaseRepresentation
bin10011011000101000101…
…011110010101001010000
311201100102220100222020222
4103120220223302221100
5133311141320230112
62455545114452212
7165146143554032
oct23305053625120
94640386328228
101332122430032
11473a4a424329
12196211134068
13988071018a4
144869183bc52
15249b9047372
hex13628af2a50

1332122430032 has 60 divisors (see below), whose sum is σ = 2685048562560. Its totient is φ = 640208317056.

The previous prime is 1332122430007. The next prime is 1332122430049. The reversal of 1332122430032 is 2300342212331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1332122429983 and 1332122430010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2778719 + ... + 3222657.

It is an arithmetic number, because the mean of its divisors is an integer number (44750809376).

Almost surely, 21332122430032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332122430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342524281280).

1332122430032 is an abundant number, since it is smaller than the sum of its proper divisors (1352926132528).

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

1332122430032 is a wasteful number, since it uses less digits than its factorization.

1332122430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444228 (or 444193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1332122430032 its reverse (2300342212331), we get a palindrome (3632464642363).

The spelling of 1332122430032 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-two million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 116 223 232 446 464 841 892 1682 1784 3364 3568 6467 6728 12934 13456 25868 51736 103472 187543 375086 443939 750172 887878 1500344 1775756 3000688 3551512 7103024 12874231 25748462 51496924 98998397 102993848 197996794 205987696 373352699 395993588 746705398 791987176 1493410796 1583974352 2870953513 2986821592 5741907026 5973643184 11483814052 22967628104 45935256208 83257651877 166515303754 333030607508 666061215016 1332122430032