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21211143220432 = 24114671086123761
BaseRepresentation
bin1001101001010100110101…
…01010000010110011010000
32210002202200001002212101001
410310222122222002303100
510240010410131023212
6113040133100351344
74316311621363024
oct464523252026320
983082601085331
1021211143220432
116838660413610
122466a40b45554
13bab2823901a9
145348a6698384
1526bb3cea1657
hex134a9aa82cd0

21211143220432 has 80 divisors (see below), whose sum is σ = 44934672729024. Its totient is φ = 9619492608000.

The previous prime is 21211143220391. The next prime is 21211143220469. The reversal of 21211143220432 is 23402234111212.

It is a super-2 number, since 2×212111432204322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21211143220432.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 892675432 + ... + 892699192.

Almost surely, 221211143220432 is an apocalyptic number.

21211143220432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21211143220432 is an abundant number, since it is smaller than the sum of its proper divisors (23723529508592).

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

21211143220432 is a wasteful number, since it uses less digits than its factorization.

21211143220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35108 (or 35102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 21211143220432 its reverse (23402234111212), we get a palindrome (44613377331644).

It can be divided in two parts, 2121114 and 3220432, that added together give a triangular number (5341546 = T3268).

The spelling of 21211143220432 in words is "twenty-one trillion, two hundred eleven billion, one hundred forty-three million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 467 934 1868 3736 5137 7472 10274 10861 20548 21722 23761 41096 43444 47522 82192 86888 95044 119471 173776 190088 238942 261371 380176 477884 522742 955768 1045484 1911536 2090968 4181936 5072087 10144174 11096387 20288348 22192774 40576696 44385548 55792957 81153392 88771096 111585914 122060257 177542192 223171828 244120514 258068221 446343656 488241028 516136442 892687312 976482056 1032272884 1952964112 2064545768 2838750431 4129091536 5677500862 11355001724 22710003448 45420006896 120517859207 241035718414 482071436828 964142873656 1325696451277 1928285747312 2651392902554 5302785805108 10605571610216 21211143220432