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21146532132401 = 13471791667115987
BaseRepresentation
bin1001100111011100011111…
…00010010011011000110001
32202212120220011221111222122
410303232033202103120301
510232431044211214101
6112550325512444025
74311533531242004
oct463561742233061
982776804844878
1021146532132401
1168132151108a5
12245640a9a9615
13ba5156532b60
145316d765d53b
1526a10aa1a51b
hex133b8f893631

21146532132401 has 32 divisors (see below), whose sum is σ = 23401887344640. Its totient is φ = 18986269813056.

The previous prime is 21146532132373. The next prime is 21146532132409. The reversal of 21146532132401 is 10423123564112.

It is not a de Polignac number, because 21146532132401 - 222 = 21146527938097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21146532132409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 182260130 + ... + 182376116.

It is an arithmetic number, because the mean of its divisors is an integer number (731308979520).

Almost surely, 221146532132401 is an apocalyptic number.

It is an amenable number.

21146532132401 is a deficient number, since it is larger than the sum of its proper divisors (2255355212239).

21146532132401 is a wasteful number, since it uses less digits than its factorization.

21146532132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117893.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 21146532132401 its reverse (10423123564112), we get a palindrome (31569655696513).

The spelling of 21146532132401 in words is "twenty-one trillion, one hundred forty-six billion, five hundred thirty-two million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 13 47 179 611 1667 2327 8413 21671 78349 109369 115987 298393 1018537 1507831 3879109 5451389 14024471 20761673 70868057 182318123 193350329 269901749 975798631 2513554277 9087465463 12685382203 34609708891 118137051019 449926215583 1626656317877 21146532132401