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21133443132 = 2233316312259
BaseRepresentation
bin10011101011101001…
…101100000000111100
32000112211022010221000
4103223221230000330
5321240130140012
613413015010300
71345464205554
oct235351540074
960484263830
1021133443132
118a6530668a
124119669990
131cba467849
141046a4c164
1583a50addc
hex4eba6c03c

21133443132 has 48 divisors (see below), whose sum is σ = 56557849600. Its totient is φ = 6817238640.

The previous prime is 21133443131. The next prime is 21133443137. The reversal of 21133443132 is 23134433112.

It is a happy number.

21133443132 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 344 + 313 + 2 = 666.

It is a super-2 number, since 2×211334431322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21133443096 and 21133443105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133443131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3152782 + ... + 3159477.

Almost surely, 221133443132 is an apocalyptic number.

It is an amenable number.

21133443132 is an abundant number, since it is smaller than the sum of its proper divisors (35424406468).

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

21133443132 is a wasteful number, since it uses less digits than its factorization.

21133443132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312303 (or 6312295 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 21133443132 its reverse (23134433112), we get a palindrome (44267876244).

The spelling of 21133443132 in words is "twenty-one billion, one hundred thirty-three million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 6312259 12624518 18936777 25249036 37873554 56810331 75747108 113620662 170430993 195680029 227241324 340861986 391360058 587040087 681723972 782720116 1174080174 1761120261 2348160348 3522240522 5283360783 7044481044 10566721566 21133443132