Search a number
-
+
1321102233232 = 2431131187110867
BaseRepresentation
bin10011001110010111110…
…101000100111010010000
311200021222212220222012221
4103032113311010322100
5133121104132430412
62450523405430424
7164306100462265
oct23162765047220
94607885828187
101321102233232
1146a304851371
1219405656b414
139776bc55392
1447d27dd126c
1524571818b07
hex13397d44e90

1321102233232 has 80 divisors (see below), whose sum is σ = 2664042061824. Its totient is φ = 633965904000.

The previous prime is 1321102233211. The next prime is 1321102233257. The reversal of 1321102233232 is 2323322011231.

It is a super-2 number, since 2×13211022332322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321102233197 and 1321102233206.

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, 121564663 + ... + 121575529.

Almost surely, 21321102233232 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 1321102233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332021030912).

1321102233232 is an abundant number, since it is smaller than the sum of its proper divisors (1342939828592).

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

1321102233232 is a wasteful number, since it uses less digits than its factorization.

1321102233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12908 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1321102233232 its reverse (2323322011231), we get a palindrome (3644424244463).

The spelling of 1321102233232 in words is "one trillion, three hundred twenty-one billion, one hundred two million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 1048 1871 2096 3742 4061 7484 8122 10867 14968 16244 21734 29936 32488 43468 58001 64976 86936 116002 173872 232004 245101 336877 464008 490202 673754 928016 980404 1347508 1423577 1960808 2695016 2847154 3921616 5390032 5694308 7598131 11388616 15196262 20332157 22777232 30392524 40664314 44130887 60785048 81328628 88261774 121570096 162657256 176523548 325314512 353047096 630296867 706094192 1260593734 2521187468 2663512567 5042374936 5327025134 10084749872 10654050268 21308100536 42616201072 82568889577 165137779154 330275558308 660551116616 1321102233232