Search a number
-
+
11212333002 = 23213373128461
BaseRepresentation
bin10100111000100111…
…01001111111001010
31001221101222112100200
422130103221333022
5140430324124002
65052331113030
7544565154333
oct123423517712
931841875320
1011212333002
114834084812
12220aba2776
131098c0c390
1478518328a
15459532b1c
hex29c4e9fca

11212333002 has 48 divisors (see below), whose sum is σ = 26232454248. Its totient is φ = 3440672640.

The previous prime is 11212332961. The next prime is 11212333007. The reversal of 11212333002 is 20033321211.

It can be written as a sum of positive squares in 4 ways, for example, as 5639859801 + 5572473201 = 75099^2 + 74649^2 .

It is a super-2 number, since 2×112123330022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11212333007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23052 + ... + 151512.

Almost surely, 211212333002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212333002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116227124).

11212333002 is an abundant number, since it is smaller than the sum of its proper divisors (15020121246).

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

11212333002 is a wasteful number, since it uses less digits than its factorization.

11212333002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128855 (or 128852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11212333002 its reverse (20033321211), we get a palindrome (31245654213).

The spelling of 11212333002 in words is "eleven billion, two hundred twelve million, three hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 373 746 1119 2238 3357 4849 6714 9698 14547 29094 43641 87282 128461 256922 385383 770766 1156149 1669993 2312298 3339986 5009979 10019958 15029937 30059874 47915953 95831906 143747859 287495718 431243577 622907389 862487154 1245814778 1868722167 3737444334 5606166501 11212333002