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11323031220 = 223251710136637
BaseRepresentation
bin10101000101110011…
…11011111010110100
31002020010021120202200
422202321323322310
5141142143444340
65111323504500
7550411114554
oct124271737264
932203246680
1011323031220
114890612a46
122240088130
1310b5b2a497
14795b5b164
154640ec330
hex2a2e7beb4

11323031220 has 144 divisors (see below), whose sum is σ = 36727982928. Its totient is φ = 2813644800.

The previous prime is 11323031207. The next prime is 11323031221. The reversal of 11323031220 is 2213032311.

11323031220 is a `hidden beast` number, since 11 + 323 + 0 + 312 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 966712464 + 10356318756 = 31092^2 + 101766^2 .

It is a super-2 number, since 2×113230312202 (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 = 11323031193 and 11323031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323031221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290742 + ... + 327378.

It is an arithmetic number, because the mean of its divisors is an integer number (255055437).

Almost surely, 211323031220 is an apocalyptic number.

11323031220 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 11323031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363991464).

11323031220 is an abundant number, since it is smaller than the sum of its proper divisors (25404951708).

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

11323031220 is a wasteful number, since it uses less digits than its factorization.

11323031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36770 (or 36765 counting only the distinct ones).

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

Adding to 11323031220 its reverse (2213032311), we get a palindrome (13536063531).

The spelling of 11323031220 in words is "eleven billion, three hundred twenty-three million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 101 102 153 170 180 202 204 255 303 306 340 404 505 510 606 612 765 909 1010 1020 1212 1515 1530 1717 1818 2020 3030 3060 3434 3636 4545 5151 6060 6868 8585 9090 10302 15453 17170 18180 20604 25755 30906 34340 36637 51510 61812 73274 77265 103020 109911 146548 154530 183185 219822 309060 329733 366370 439644 549555 622829 659466 732740 1099110 1245658 1318932 1648665 1868487 2198220 2491316 3114145 3297330 3700337 3736974 5605461 6228290 6594660 7400674 7473948 9342435 11101011 11210922 12456580 14801348 18501685 18684870 22202022 22421844 28027305 33303033 37003370 37369740 44404044 55505055 56054610 62905729 66606066 74006740 111010110 112109220 125811458 133212132 166515165 188717187 222020220 251622916 314528645 333030330 377434374 566151561 629057290 666060660 754868748 943585935 1132303122 1258114580 1887171870 2264606244 2830757805 3774343740 5661515610 11323031220