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13331333300 = 22521075632213
BaseRepresentation
bin11000110101001110…
…00000000010110100
31021102002020220022012
430122213000002310
5204300310131200
610042504423352
7651235314635
oct143247000264
937362226265
1013331333300
11572121002a
122700777b58
131345c205cc
1490677788c
1553059ea35
hex31a9c00b4

13331333300 has 72 divisors (see below), whose sum is σ = 29264439456. Its totient is φ = 5270930560.

The previous prime is 13331333291. The next prime is 13331333303. The reversal of 13331333300 is 333313331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331333303) 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 23 ways as a sum of consecutive naturals, for example, 6022994 + ... + 6025206.

It is an arithmetic number, because the mean of its divisors is an integer number (406450548).

Almost surely, 213331333300 is an apocalyptic number.

13331333300 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 13331333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632219728).

13331333300 is an abundant number, since it is smaller than the sum of its proper divisors (15933106156).

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

13331333300 is a wasteful number, since it uses less digits than its factorization.

13331333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 23.

Adding to 13331333300 its reverse (333313331), we get a palindrome (13664646631).

The spelling of 13331333300 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 563 1070 1126 2140 2213 2252 2675 2815 4426 5350 5630 8852 10700 11065 11260 14075 22130 28150 44260 55325 56300 60241 110650 120482 221300 236791 240964 301205 473582 602410 947164 1183955 1204820 1245919 1506025 2367910 2491838 3012050 4735820 4983676 5919775 6024100 6229595 11839550 12459190 23679100 24918380 31147975 62295950 124591900 133313333 266626666 533253332 666566665 1333133330 2666266660 3332833325 6665666650 13331333300