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21342351160 = 23513192299433
BaseRepresentation
bin10011111000000110…
…100110111100111000
32001002101101202212101
4103320012212330320
5322202120214120
613445440353144
71353611664064
oct237006467470
961071352771
1021342351160
119062223349
1241776157b4
132021820670
1410666acaa4
1584da2490a
hex4f81a6f38

21342351160 has 128 divisors (see below), whose sum is σ = 54679464000. Its totient is φ = 7432114176.

The previous prime is 21342351133. The next prime is 21342351161. The reversal of 21342351160 is 6115324312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342351161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2257804 + ... + 2267236.

Almost surely, 221342351160 is an apocalyptic number.

21342351160 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 21342351160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27339732000).

21342351160 is an abundant number, since it is smaller than the sum of its proper divisors (33337112840).

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

21342351160 is a wasteful number, since it uses less digits than its factorization.

21342351160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 21342351160 its reverse (6115324312), we get a palindrome (27457675472).

The spelling of 21342351160 in words is "twenty-one billion, three hundred forty-two million, three hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 229 247 260 380 458 494 520 760 916 988 1145 1235 1832 1976 2290 2470 2977 4351 4580 4940 5954 8702 9160 9433 9880 11908 14885 17404 18866 21755 23816 29770 34808 37732 43510 47165 56563 59540 75464 87020 94330 113126 119080 122629 174040 179227 188660 226252 245258 282815 358454 377320 452504 490516 565630 613145 716908 896135 981032 1131260 1226290 1433816 1792270 2160157 2262520 2329951 2452580 3584540 4320314 4659902 4905160 7169080 8640628 9319804 10800785 11649755 17281256 18639608 21601570 23299510 28082041 41042983 43203140 46599020 56164082 82085966 86406280 93198040 112328164 140410205 164171932 205214915 224656328 280820410 328343864 410429830 533558779 561640820 820859660 1067117558 1123281640 1641719320 2134235116 2667793895 4268470232 5335587790 10671175580 21342351160