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11322223020 = 22325383164233
BaseRepresentation
bin10101000101101101…
…10110100110101100
31002020001202112010100
422202312312212230
5141141442114040
65111254311100
7550401210363
oct124266664654
932201675110
1011322223020
114890110809
12223b958490
1310b5906664
147959ca7da
15463edcb30
hex2a2db69ac

11322223020 has 72 divisors (see below), whose sum is σ = 34433957376. Its totient is φ = 3011357952.

The previous prime is 11322222979. The next prime is 11322223027. The reversal of 11322223020 is 2032222311.

It is a super-2 number, since 2×113222230202 (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 a junction number, because it is equal to n+sod(n) for n = 11322222984 and 11322223002.

It is not an unprimeable number, because it can be changed into a prime (11322223027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13177 + ... + 151056.

It is an arithmetic number, because the mean of its divisors is an integer number (478249408).

Almost surely, 211322223020 is an apocalyptic number.

11322223020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216978688).

11322223020 is an abundant number, since it is smaller than the sum of its proper divisors (23111734356).

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

11322223020 is a wasteful number, since it uses less digits than its factorization.

11322223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164631 (or 164626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11322223020 its reverse (2032222311), we get a palindrome (13354445331).

The spelling of 11322223020 in words is "eleven billion, three hundred twenty-two million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 11490 13788 17235 22980 34470 68940 164233 328466 492699 656932 821165 985398 1478097 1642330 1970796 2463495 2956194 3284660 4926990 5912388 7390485 9853980 14780970 29561940 62901239 125802478 188703717 251604956 314506195 377407434 566111151 629012390 754814868 943518585 1132222302 1258024780 1887037170 2264444604 2830555755 3774074340 5661111510 11322223020