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20115213160 = 23572910922727
BaseRepresentation
bin10010101110111101…
…011100101101101000
31220220212022200222211
4102232331130231220
5312143443310120
613124002454504
71311321330220
oct225675345550
956825280884
1020115213160
118592571409
123a94664434
131b87516ac3
14d8b717080
157cae2825a
hex4aef5cb68

20115213160 has 128 divisors (see below), whose sum is σ = 54001728000. Its totient is φ = 6597448704.

The previous prime is 20115213143. The next prime is 20115213191. The reversal of 20115213160 is 6131251102.

20115213160 = T13976 + T13977 + ... + T14178.

It is a happy 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, 873717 + ... + 896443.

It is an arithmetic number, because the mean of its divisors is an integer number (421888500).

Almost surely, 220115213160 is an apocalyptic number.

20115213160 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 20115213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27000864000).

20115213160 is an abundant number, since it is smaller than the sum of its proper divisors (33886514840).

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

20115213160 is a wasteful number, since it uses less digits than its factorization.

20115213160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22883 (or 22879 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 20115213160 its reverse (6131251102), we get a palindrome (26246464262).

The spelling of 20115213160 in words is "twenty billion, one hundred fifteen million, two hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 109 116 140 145 203 218 232 280 290 406 436 545 580 763 812 872 1015 1090 1160 1526 1624 2030 2180 3052 3161 3815 4060 4360 6104 6322 7630 8120 12644 15260 15805 22127 22727 25288 30520 31610 44254 45454 63220 88508 90908 110635 113635 126440 159089 177016 181816 221270 227270 318178 442540 454540 636356 659083 795445 885080 909080 1272712 1318166 1590890 2477243 2636332 3181780 3295415 4613581 4954486 5272664 6363560 6590830 9227162 9908972 12386215 13181660 17340701 18454324 19817944 23067905 24772430 26363320 34681402 36908648 46135810 49544860 69362804 71840047 86703505 92271620 99089720 138725608 143680094 173407010 184543240 287360188 346814020 359200235 502880329 574720376 693628040 718400470 1005760658 1436800940 2011521316 2514401645 2873601880 4023042632 5028803290 10057606580 20115213160