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21343253340 = 22356710152567
BaseRepresentation
bin10011111000001010…
…000011001101011100
32001002110002121102110
4103320022003031130
5322202333101330
613445511554020
71353622442253
oct237012031534
961073077373
1021343253340
11906278a152
12417798b910
132021a781b6
14106686579a
1584db51db0
hex4f828335c

21343253340 has 96 divisors (see below), whose sum is σ = 61254756864. Its totient is φ = 5550969600.

The previous prime is 21343253317. The next prime is 21343253353. The reversal of 21343253340 is 4335234312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21343253298 and 21343253307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379737 + ... + 432303.

It is an arithmetic number, because the mean of its divisors is an integer number (638070384).

Almost surely, 221343253340 is an apocalyptic number.

21343253340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30627378432).

21343253340 is an abundant number, since it is smaller than the sum of its proper divisors (39911503524).

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

21343253340 is a wasteful number, since it uses less digits than its factorization.

21343253340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52747 (or 52745 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 21343253340 its reverse (4335234312), we get a palindrome (25678487652).

The spelling of 21343253340 in words is "twenty-one billion, three hundred forty-three million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 101 134 201 202 268 303 335 402 404 505 606 670 804 1005 1010 1212 1340 1515 2010 2020 3030 4020 6060 6767 13534 20301 27068 33835 40602 52567 67670 81204 101505 105134 135340 157701 203010 210268 262835 315402 406020 525670 630804 788505 1051340 1577010 3154020 3521989 5309267 7043978 10565967 10618534 14087956 15927801 17609945 21131934 21237068 26546335 31855602 35219890 42263868 52829835 53092670 63711204 70439780 79639005 105659670 106185340 159278010 211319340 318556020 355720889 711441778 1067162667 1422883556 1778604445 2134325334 3557208890 4268650668 5335813335 7114417780 10671626670 21343253340