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10012132231300 = 22521136731316537
BaseRepresentation
bin1001000110110010000110…
…0101011100100010000100
31022110011001201011110102101
42101230201211130202010
52303014321322400200
633143302100521444
72052231653534113
oct221544145344204
938404051143371
1010012132231300
1132101376a0a61
1211585029b0284
135781a880a304
1426883852bc7a
1512568a0d326a
hex91b2195c884

10012132231300 has 72 divisors (see below), whose sum is σ = 21951180487656. Its totient is φ = 3963510620160.

The previous prime is 10012132231247. The next prime is 10012132231399. The reversal of 10012132231300 is 313223121001.

It can be written as a sum of positive squares in 12 ways, for example, as 8714410272324 + 1297721958976 = 2952018^2 + 1139176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6946632 + ... + 8263168.

It is an arithmetic number, because the mean of its divisors is an integer number (304877506773).

Almost surely, 210012132231300 is an apocalyptic number.

10012132231300 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 10012132231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975590243828).

10012132231300 is an abundant number, since it is smaller than the sum of its proper divisors (11939048256356).

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

10012132231300 is a wasteful number, since it uses less digits than its factorization.

10012132231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317337 (or 1317330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10012132231300 its reverse (313223121001), we get a palindrome (10325355352301).

The spelling of 10012132231300 in words is "ten trillion, twelve billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 673 1130 1346 2260 2692 2825 3365 5650 6730 11300 13460 16825 33650 67300 76049 152098 304196 380245 760490 1316537 1520980 1901225 2633074 3802450 5266148 6582685 7604900 13165370 26330740 32913425 65826850 131653700 148768681 297537362 595074724 743843405 886029401 1487686810 1772058802 2975373620 3544117604 3719217025 4430147005 7438434050 8860294010 14876868100 17720588020 22150735025 44301470050 88602940100 100121322313 200242644626 400485289252 500606611565 1001213223130 2002426446260 2503033057825 5006066115650 10012132231300