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21003121332 = 22324130746351
BaseRepresentation
bin10011100011111000…
…100011001010110100
32000012202002010000200
4103203320203022310
5321003244340312
613352041440500
71342322404614
oct234370431264
960182063020
1021003121332
1189a8794a16
1240a1aa0130
131c9946875b
141033606a44
1582dd670dc
hex4e3e232b4

21003121332 has 72 divisors (see below), whose sum is σ = 54564461952. Its totient is φ = 6807888000.

The previous prime is 21003121289. The next prime is 21003121357. The reversal of 21003121332 is 23312130012.

21003121332 is a `hidden beast` number, since 21 + 0 + 0 + 312 + 1 + 332 = 666.

It is a super-2 number, since 2×210031213322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 429957 + ... + 476307.

Almost surely, 221003121332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27282230976).

21003121332 is an abundant number, since it is smaller than the sum of its proper divisors (33561340620).

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

21003121332 is a wasteful number, since it uses less digits than its factorization.

21003121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46709 (or 46704 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21003121332 its reverse (23312130012), we get a palindrome (44315251344).

The spelling of 21003121332 in words is "twenty-one billion, three million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 307 369 492 614 738 921 1228 1476 1842 2763 3684 5526 11052 12587 25174 37761 46351 50348 75522 92702 113283 139053 151044 185404 226566 278106 417159 453132 556212 834318 1668636 1900391 3800782 5701173 7601564 11402346 14229757 17103519 22804692 28459514 34207038 42689271 56919028 68414076 85378542 128067813 170757084 256135626 512271252 583420037 1166840074 1750260111 2333680148 3500520222 5250780333 7001040444 10501560666 21003121332