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11011000050 = 23252315411459
BaseRepresentation
bin10100100000100111…
…01000011011110010
31001102101010202110200
422100103220123302
5140022304000200
65020335540030
7536601645651
oct122023503362
931371122420
1011011000050
114740471346
12217368a616
1310662a945b
14766535198
15446a13800
hex2904e86f2

11011000050 has 144 divisors (see below), whose sum is σ = 30614588160. Its totient is φ = 2834352000.

The previous prime is 11011000043. The next prime is 11011000051. The reversal of 11011000050 is 5000011011.

It is a super-2 number, since 2×110110000502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11010999996 and 11011000041.

It is not an unprimeable number, because it can be changed into a prime (11011000051) 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, 7546221 + ... + 7547679.

Almost surely, 211011000050 is an apocalyptic number.

11011000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307294080).

11011000050 is an abundant number, since it is smaller than the sum of its proper divisors (19603588110).

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

11011000050 is a wasteful number, since it uses less digits than its factorization.

11011000050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 11011000050 its reverse (5000011011), we get a palindrome (16011011061).

The spelling of 11011000050 in words is "eleven billion, eleven million, fifty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 541 558 775 930 1082 1395 1459 1550 1623 2325 2705 2790 2918 3246 4377 4650 4869 5410 6975 7295 8115 8754 9738 13131 13525 13950 14590 16230 16771 21885 24345 26262 27050 33542 36475 40575 43770 45229 48690 50313 65655 72950 81150 83855 90458 100626 109425 121725 131310 135687 150939 167710 218850 226145 243450 251565 271374 301878 328275 407061 419275 452290 503130 656550 678435 754695 789319 814122 838550 1130725 1257825 1356870 1509390 1578638 2035305 2261450 2367957 2515650 3392175 3773475 3946595 4070610 4735914 6784350 7103871 7546950 7893190 10176525 11839785 14207742 19732975 20353050 23679570 24468889 35519355 39465950 48937778 59198925 71038710 73406667 118397850 122344445 146813334 177596775 220220001 244688890 355193550 367033335 440440002 611722225 734066670 1101100005 1223444450 1835166675 2202200010 3670333350 5505500025 11011000050