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21330133132 = 2271126793967
BaseRepresentation
bin10011110111011000…
…000000000010001100
32001001112102000212211
4103313120000002030
5322141003230012
613444322440204
71353403066030
oct236730000214
961045360784
1021330133132
119056338800
124173503064
13201c133369
141064c0c1c0
1584c90e6a7
hex4f760008c

21330133132 has 72 divisors (see below), whose sum is σ = 47591409152. Its totient is φ = 8186317920.

The previous prime is 21330133081. The next prime is 21330133133. The reversal of 21330133132 is 23133103312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21330133133) 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, 180013 + ... + 273979.

Almost surely, 221330133132 is an apocalyptic number.

21330133132 is a gapful number since it is divisible by the number (22) 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 21330133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23795704576).

21330133132 is an abundant number, since it is smaller than the sum of its proper divisors (26261276020).

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

21330133132 is a wasteful number, since it uses less digits than its factorization.

21330133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94067 (or 94054 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 21330133132 its reverse (23133103312), we get a palindrome (44463236444).

The spelling of 21330133132 in words is "twenty-one billion, three hundred thirty million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 121 134 154 242 268 308 469 484 737 847 938 1474 1694 1876 2948 3388 5159 8107 10318 16214 20636 32428 56749 93967 113498 187934 226996 375868 657769 1033637 1315538 2067274 2631076 4134548 6295789 7235459 11370007 12591578 14470918 22740014 25183156 28941836 44070523 45480028 69253679 79590049 88141046 138507358 159180098 176282092 277014716 318360196 484775753 761790469 969551506 1523580938 1939103012 3047161876 5332533283 10665066566 21330133132