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21435020325 = 3252895991787
BaseRepresentation
bin10011111101101000…
…000111010000100101
32001022211202212001200
4103331220013100211
5322344331122300
613502550513113
71356115444425
oct237550072045
961284685050
1021435020325
1190aa568034
1241a2665799
132037a984a4
141074b12485
15856c2c200
hex4fda07425

21435020325 has 72 divisors (see below), whose sum is σ = 38910456000. Its totient is φ = 11278375680.

The previous prime is 21435020323. The next prime is 21435020329. The reversal of 21435020325 is 52302053412.

It is a happy number.

21435020325 is a `hidden beast` number, since 2 + 1 + 435 + 0 + 203 + 25 = 666.

It is not a de Polignac number, because 21435020325 - 21 = 21435020323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21435020323) 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 71 ways as a sum of consecutive naturals, for example, 11994082 + ... + 11995868.

It is an arithmetic number, because the mean of its divisors is an integer number (540423000).

Almost surely, 221435020325 is an apocalyptic number.

21435020325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21435020325 is a deficient number, since it is larger than the sum of its proper divisors (17475435675).

21435020325 is a wasteful number, since it uses less digits than its factorization.

21435020325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 21435020325 its reverse (52302053412), we get a palindrome (73737073737).

The spelling of 21435020325 in words is "twenty-one billion, four hundred thirty-five million, twenty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 599 801 1335 1787 1797 2225 2995 4005 5361 5391 6675 8935 8985 14975 16083 20025 26805 26955 44675 44925 53311 80415 134025 134775 159043 159933 266555 402075 477129 479799 795215 799665 1070413 1332775 1431387 2385645 2398995 3211239 3976075 3998325 5352065 7156935 9633717 11928225 11994975 16056195 26760325 35784675 48168585 80280975 95266757 240842925 285800271 476333785 857400813 1429001355 2381668925 4287004065 7145006775 21435020325