Search a number
-
+
11011220010 = 2325749135597
BaseRepresentation
bin10100100000101000…
…11110001000101010
31001102101112221012100
422100110132020222
5140022333020020
65020344354230
7536603553150
oct122024361052
931371487170
1011011220010
11474060162a
122173775976
1310663555cb
147665913d0
15446a58a90
hex29051e22a

11011220010 has 96 divisors (see below), whose sum is σ = 32786612352. Its totient is φ = 2511653760.

The previous prime is 11011219987. The next prime is 11011220023. The reversal of 11011220010 is 1002211011.

It is a happy number.

It is a super-2 number, since 2×110112200102 (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 = 11011219974 and 11011220001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291532 + ... + 327128.

It is an arithmetic number, because the mean of its divisors is an integer number (341527212).

Almost surely, 211011220010 is an apocalyptic number.

11011220010 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 11011220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393306176).

11011220010 is an abundant number, since it is smaller than the sum of its proper divisors (21775392342).

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

11011220010 is a wasteful number, since it uses less digits than its factorization.

11011220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36108 (or 36105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011220010 its reverse (1002211011), we get a palindrome (12013431021).

The spelling of 11011220010 in words is "eleven billion, eleven million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 491 630 982 1473 2455 2946 3437 4419 4910 6874 7365 8838 10311 14730 17185 20622 22095 30933 34370 35597 44190 51555 61866 71194 103110 106791 154665 177985 213582 249179 309330 320373 355970 498358 533955 640746 747537 1067910 1245895 1495074 1601865 2242611 2491790 3203730 3737685 4485222 7475370 11213055 17478127 22426110 34956254 52434381 87390635 104868762 122346889 157303143 174781270 244693778 262171905 314606286 367040667 524343810 611734445 734081334 786515715 1101122001 1223468890 1573031430 1835203335 2202244002 3670406670 5505610005 11011220010