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21001332420024 = 2331127231863781
BaseRepresentation
bin1001100011001110000001…
…11101010110110110111000
32202100201002222001212210120
410301213000331112312320
510223041212044420044
6112355513503013240
74265203411116255
oct461470075266670
982321088055716
1021001332420024
116767684713900
12243224789a220
13b94556628b98
1452868162442c
1526645d593519
hex1319c0f56db8

21001332420024 has 48 divisors (see below), whose sum is σ = 57710272980360. Its totient is φ = 6364040126400.

The previous prime is 21001332420017. The next prime is 21001332420059. The reversal of 21001332420024 is 42002423310012.

It is a happy number.

It is a super-2 number, since 2×210013324200242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21001332419976 and 21001332420003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3615928987 + ... + 3615934794.

Almost surely, 221001332420024 is an apocalyptic number.

21001332420024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21001332420024 is an abundant number, since it is smaller than the sum of its proper divisors (36708940560336).

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

21001332420024 is a wasteful number, since it uses less digits than its factorization.

21001332420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231863812 (or 7231863797 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21001332420024 its reverse (42002423310012), we get a palindrome (63003755730036).

The spelling of 21001332420024 in words is "twenty-one trillion, one billion, three hundred thirty-two million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 7231863781 14463727562 21695591343 28927455124 43391182686 57854910248 79550501591 86782365372 159101003182 173564730744 238651504773 318202006364 477303009546 636404012728 875055517501 954606019092 1750111035002 1909212038184 2625166552503 3500222070004 5250333105006 7000444140008 10500666210012 21001332420024