Search a number
-
+
320112310020 = 223513156517207
BaseRepresentation
bin1001010100010000010…
…11100011011100000100
31010121021011210020101020
410222020023203130010
520221042222410040
6403020233431140
732061452511606
oct4521013433404
91117234706336
10320112310020
11113839065518
1252058b6b4b0
132425686a179
14116ca301176
1584d8211cd0
hex4a882e3704

320112310020 has 96 divisors (see below), whose sum is σ = 903441724416. Its totient is φ = 84684912000.

The previous prime is 320112309991. The next prime is 320112310031. The reversal of 320112310020 is 20013211023.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 44413257 + ... + 44420463.

It is an arithmetic number, because the mean of its divisors is an integer number (9410851296).

Almost surely, 2320112310020 is an apocalyptic number.

320112310020 is a gapful number since it is divisible by the number (30) 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 320112310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451720862208).

320112310020 is an abundant number, since it is smaller than the sum of its proper divisors (583329414396).

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

320112310020 is a wasteful number, since it uses less digits than its factorization.

320112310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13001 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320112310020 its reverse (20013211023), we get a palindrome (340125521043).

The spelling of 320112310020 in words is "three hundred twenty billion, one hundred twelve million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 5651 7207 7860 11302 14414 16953 21621 22604 28255 28828 33906 36035 43242 56510 67812 72070 84765 86484 108105 113020 144140 169530 216210 339060 432420 740281 944117 1480562 1888234 2220843 2832351 2961124 3701405 3776468 4441686 4720585 5664702 7402810 8883372 9441170 11104215 11329404 14161755 14805620 18882340 22208430 28323510 40726757 44416860 56647020 81453514 122180271 162907028 203633785 244360542 407267570 488721084 610901355 814535140 1221802710 2443605420 5335205167 10670410334 16005615501 21340820668 26676025835 32011231002 53352051670 64022462004 80028077505 106704103340 160056155010 320112310020