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21133303112001 = 32910912911726217
BaseRepresentation
bin1001100111000011110110…
…00001100110000101000001
32202211022202020012122121010
410303201323001212011001
510232222001044041001
6112540301100551133
74310554644361263
oct463417301460501
982738666178533
1021133303112001
116808646731a93
1224539385524a9
13ba3b28885a32
14530c00719b33
15269ad442a8d6
hex13387b066141

21133303112001 has 32 divisors (see below), whose sum is σ = 29439612259200. Its totient is φ = 13467799134720.

The previous prime is 21133303111993. The next prime is 21133303112057. The reversal of 21133303112001 is 10021130333112.

It is a happy number.

It is not a de Polignac number, because 21133303112001 - 23 = 21133303111993 is a prime.

It is a super-2 number, since 2×211333031120012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21133303112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11379445 + ... + 13105661.

It is an arithmetic number, because the mean of its divisors is an integer number (919987883100).

Almost surely, 221133303112001 is an apocalyptic number.

It is an amenable number.

21133303112001 is a deficient number, since it is larger than the sum of its proper divisors (8306309147199).

21133303112001 is a wasteful number, since it uses less digits than its factorization.

21133303112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727649.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21133303112001 its reverse (10021130333112), we get a palindrome (31154433445113).

The spelling of 21133303112001 in words is "twenty-one trillion, one hundred thirty-three billion, three hundred three million, one hundred twelve thousand, one".

Divisors: 1 3 29 87 109 327 1291 3161 3873 9483 37439 112317 140719 422157 1726217 4080851 5178651 12242553 50060293 150180879 188157653 564472959 2228546147 5456571937 6685638441 16369715811 64627838263 193883514789 242911530023 728734590069 7044434370667 21133303112001