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11352231200 = 255237672
BaseRepresentation
bin10101001001010010…
…10100110100100000
31002022011020002121102
422210221110310200
5141222132344300
65114245413532
7551214241652
oct124451246440
932264202542
1011352231200
1148a6047362
122249a0a2a8
1310bbbb228b
1479999c6d2
154669690d5
hex2a4a54d20

11352231200 has 54 divisors (see below), whose sum is σ = 27720993321. Its totient is φ = 4539687040.

The previous prime is 11352231197. The next prime is 11352231203. The reversal of 11352231200 is 213225311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11352231197) and next prime (11352231203).

It can be written as a sum of positive squares in 2 ways, for example, as 11125186576 + 227044624 = 105476^2 + 15068^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=75340.

It is a super-3 number, since 3×113522312003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11352231203) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3011717 + ... + 3015483.

Almost surely, 211352231200 is an apocalyptic number.

11352231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11352231200 is an abundant number, since it is smaller than the sum of its proper divisors (16368762121).

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

11352231200 is an frugal number, since it uses more digits than its factorization.

11352231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11352231200 its reverse (213225311), we get a palindrome (11565456511).

The spelling of 11352231200 in words is "eleven billion, three hundred fifty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 3767 7534 15068 18835 30136 37670 60272 75340 94175 120544 150680 188350 301360 376700 602720 753400 1506800 3013600 14190289 28380578 56761156 70951445 113522312 141902890 227044624 283805780 354757225 454089248 567611560 709514450 1135223120 1419028900 2270446240 2838057800 5676115600 11352231200