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21144210132132 = 22321791937594519
BaseRepresentation
bin1001100111011000001010…
…01000100100110010100100
32202212100220100200200102200
410303230011020210302210
510232411320243212012
6112545303244134500
74311422144460633
oct463540510446244
982770810620380
1021144210132132
11681223343370a
122455a81237430
13ba4b76456cb9
1453155710551a
1526a021c503dc
hex133b05224ca4

21144210132132 has 72 divisors (see below), whose sum is σ = 56653437859200. Its totient is φ = 6626259364608.

The previous prime is 21144210132107. The next prime is 21144210132187. The reversal of 21144210132132 is 23123101244112.

21144210132132 is a `hidden beast` number, since 2 + 1 + 1 + 442 + 1 + 0 + 1 + 3 + 213 + 2 = 666.

It is a super-2 number, since 2×211442101321322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21144210132096 and 21144210132105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18234832 + ... + 19359687.

It is an arithmetic number, because the mean of its divisors is an integer number (786853303600).

Almost surely, 221144210132132 is an apocalyptic number.

It is an amenable number.

21144210132132 is an abundant number, since it is smaller than the sum of its proper divisors (35509227727068).

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

21144210132132 is a wasteful number, since it uses less digits than its factorization.

21144210132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37595465 (or 37595460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21144210132132 its reverse (23123101244112), we get a palindrome (44267311376244).

The spelling of 21144210132132 in words is "twenty-one trillion, one hundred forty-four billion, two hundred ten million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 919 1838 2757 3676 5514 8271 11028 15623 16542 31246 33084 46869 62492 93738 140607 187476 281214 562428 37594519 75189038 112783557 150378076 225567114 338350671 451134228 639106823 676701342 1278213646 1353402684 1917320469 2556427292 3834640938 5751961407 7669281876 11503922814 23007845628 34549362961 69098725922 103648088883 138197451844 207296177766 310944266649 414592355532 587339170337 621888533298 1174678340674 1243777066596 1762017511011 2349356681348 3524035022022 5286052533033 7048070044044 10572105066066 21144210132132