Search a number
-
+
21110013332130 = 23519615931023833
BaseRepresentation
bin1001100110011000011101…
…10110001000101010100010
32202202002122010101020202110
410303030032312020222202
510231331301403112010
6112521450052100150
74306101544456362
oct463141666105242
982662563336673
1021110013332130
1167a9785209728
12244b318904656
13ba18867668b8
1452da315589a2
152691be97a120
hex13330ed88aa2

21110013332130 has 128 divisors (see below), whose sum is σ = 54296292314880. Its totient is φ = 5236777820160.

The previous prime is 21110013332113. The next prime is 21110013332137. The reversal of 21110013332130 is 3123331001112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21110013332097 and 21110013332106.

It is not an unprimeable number, because it can be changed into a prime (21110013332137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20106694 + ... + 21130526.

It is an arithmetic number, because the mean of its divisors is an integer number (424189783710).

Almost surely, 221110013332130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110013332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27148146157440).

21110013332130 is an abundant number, since it is smaller than the sum of its proper divisors (33186278982750).

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

21110013332130 is a wasteful number, since it uses less digits than its factorization.

21110013332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024516.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21110013332130 its reverse (3123331001112), we get a palindrome (24233344333242).

The spelling of 21110013332130 in words is "twenty-one trillion, one hundred ten billion, thirteen million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 285 305 366 570 593 610 915 1159 1186 1779 1830 2318 2965 3477 3558 5795 5930 6954 8895 11267 11590 17385 17790 22534 33801 34770 36173 56335 67602 72346 108519 112670 169005 180865 217038 338010 361730 542595 687287 1023833 1085190 1374574 2047666 2061861 3071499 3436435 4123722 5119165 6142998 6872870 10238330 10309305 15357495 19452827 20618610 30714990 38905654 58358481 62453813 97264135 116716962 124907626 187361439 194528270 291792405 312269065 374722878 583584810 607132969 624538130 936807195 1186622447 1214265938 1821398907 1873614390 2373244894 3035664845 3559867341 3642797814 5933112235 6071329690 7119734682 9106994535 11535526411 11866224470 17799336705 18213989070 23071052822 34606579233 35598673410 37035111109 57677632055 69213158466 74070222218 111105333327 115355264110 173032896165 185175555545 222210666654 346065792330 370351111090 555526666635 703667111071 1111053333270 1407334222142 2111001333213 3518335555355 4222002666426 7036671110710 10555006666065 21110013332130