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200132113344 = 26331223715031
BaseRepresentation
bin1011101001100011001…
…1011011001111000000
3201010120112212201221020
42322120303123033000
511234332310111334
6231534525425440
720313313616052
oct2723063331700
9633515781836
10200132113344
117796a3a6989
1232953a0b280
1315b457c7857
1499878718d2
155314d6de49
hex2e98cdb3c0

200132113344 has 112 divisors (see below), whose sum is σ = 546878109696. Its totient is φ = 64525593600.

The previous prime is 200132113343. The next prime is 200132113351. The reversal of 200132113344 is 443311231002.

It is a happy number.

200132113344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200132113343) 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 15 ways as a sum of consecutive naturals, for example, 13307109 + ... + 13322139.

Almost surely, 2200132113344 is an apocalyptic number.

200132113344 is a gapful number since it is divisible by the number (24) 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 200132113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273439054848).

200132113344 is an abundant number, since it is smaller than the sum of its proper divisors (346745996352).

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

200132113344 is a wasteful number, since it uses less digits than its factorization.

200132113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 200132113344 its reverse (443311231002), we get a palindrome (643443344346).

The spelling of 200132113344 in words is "two hundred billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2237 2976 4474 5952 6711 8948 13422 15031 17896 26844 30062 35792 45093 53688 60124 69347 71584 90186 107376 120248 138694 143168 180372 208041 214752 240496 277388 360744 416082 429504 465961 480992 554776 721488 832164 931922 961984 1109552 1397883 1442976 1664328 1863844 2219104 2795766 2885952 3328656 3727688 4438208 5591532 6657312 7455376 11183064 13314624 14910752 22366128 29821504 33624347 44732256 67248694 89464512 100873041 134497388 201746082 268994776 403492164 537989552 806984328 1042354757 1075979104 1613968656 2084709514 2151958208 3127064271 3227937312 4169419028 6254128542 6455874624 8338838056 12508257084 16677676112 25016514168 33355352224 50033028336 66710704448 100066056672 200132113344