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1321320004432 = 241967154342043
BaseRepresentation
bin10011001110100100110…
…011110011101101010000
311200022120001200220010221
4103032210303303231100
5133122030410120212
62451001145202424
7164314353503611
oct23164463635520
94608501626127
101321320004432
1146a40677206a
121940b7490414
13977a50c248c
1447d48cbbc08
15245859d3807
hex133a4cf3b50

1321320004432 has 80 divisors (see below), whose sum is σ = 2736855861760. Its totient is φ = 616132573056.

The previous prime is 1321320004429. The next prime is 1321320004463. The reversal of 1321320004432 is 2344000231231.

It is a super-2 number, since 2×13213200044322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321320004397 and 1321320004406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31406803 + ... + 31448845.

It is an arithmetic number, because the mean of its divisors is an integer number (34210698272).

Almost surely, 21321320004432 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 1321320004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368427930880).

1321320004432 is an abundant number, since it is smaller than the sum of its proper divisors (1415535857328).

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

1321320004432 is a wasteful number, since it uses less digits than its factorization.

1321320004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43680 (or 43674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1321320004432 its reverse (2344000231231), we get a palindrome (3665320235663).

The spelling of 1321320004432 in words is "one trillion, three hundred twenty-one billion, three hundred twenty million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 536 1072 1273 1543 2546 3086 5092 6172 10184 12344 20368 24688 29317 42043 58634 84086 103381 117268 168172 206762 234536 336344 413524 469072 672688 798817 827048 1597634 1654096 1964239 2816881 3195268 3928478 5633762 6390536 7856956 11267524 12781072 15713912 22535048 31427824 45070096 53520739 64872349 107041478 129744698 214082956 259489396 428165912 518978792 856331824 1037957584 1232574631 2465149262 4346447383 4930298524 8692894766 9860597048 17385789532 19721194096 34771579064 69543158128 82582500277 165165000554 330330001108 660660002216 1321320004432