Search a number
-
+
11221120020 = 22351117001697
BaseRepresentation
bin10100111001101010…
…01011010000010100
31001222000111221212210
422130311023100110
5140440101320040
65053243313420
7545032642425
oct123465132024
931860457783
1011221120020
114839036610
122211b1b870
13109a997ab6
147863cd64c
1545a1bb480
hex29cd4b414

11221120020 has 48 divisors (see below), whose sum is σ = 34275423168. Its totient is φ = 2720271360.

The previous prime is 11221120019. The next prime is 11221120021. The reversal of 11221120020 is 2002112211.

It is an interprime number because it is at equal distance from previous prime (11221120019) and next prime (11221120021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11221119978 and 11221120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8500189 + ... + 8501508.

It is an arithmetic number, because the mean of its divisors is an integer number (714071316).

Almost surely, 211221120020 is an apocalyptic number.

11221120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221120020 is an abundant number, since it is smaller than the sum of its proper divisors (23054303148).

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

11221120020 is a wasteful number, since it uses less digits than its factorization.

11221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17001720 (or 17001718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221120020 its reverse (2002112211), we get a palindrome (13223232231).

It can be divided in two parts, 112211 and 20020, that added together give a palindrome (132231).

The spelling of 11221120020 in words is "eleven billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 17001697 34003394 51005091 68006788 85008485 102010182 170016970 187018667 204020364 255025455 340033940 374037334 510050910 561056001 748074668 935093335 1020101820 1122112002 1870186670 2244224004 2805280005 3740373340 5610560010 11221120020