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13332023300 = 2252413379649
BaseRepresentation
bin11000110101010011…
…01000100000000100
31021102010112221210202
430122221220200010
5204300444221200
610042531310032
7651244220411
oct143251504004
937363487722
1013332023300
115721641482
122700a4b318
1313461026ab
149068b7108
155306891d5
hex31aa68804

13332023300 has 72 divisors (see below), whose sum is σ = 29727133800. Its totient is φ = 5186764800.

The previous prime is 13332023251. The next prime is 13332023311. The reversal of 13332023300 is 332023331.

It can be written as a sum of positive squares in 12 ways, for example, as 11232184324 + 2099838976 = 105982^2 + 45824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376876 + ... + 1386524.

Almost surely, 213332023300 is an apocalyptic number.

13332023300 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 13332023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863566900).

13332023300 is an abundant number, since it is smaller than the sum of its proper divisors (16395110500).

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

13332023300 is a wasteful number, since it uses less digits than its factorization.

13332023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13332023300 its reverse (332023331), we get a palindrome (13664046631).

The spelling of 13332023300 in words is "thirteen billion, three hundred thirty-two million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 337 410 674 820 1025 1348 1685 2050 3370 4100 6740 8425 9649 13817 16850 19298 27634 33700 38596 48245 55268 69085 96490 138170 192980 241225 276340 345425 395609 482450 690850 791218 964900 1381700 1582436 1978045 3251713 3956090 6503426 7912180 9890225 13006852 16258565 19780450 32517130 39560900 65034260 81292825 133320233 162585650 266640466 325171300 533280932 666601165 1333202330 2666404660 3333005825 6666011650 13332023300