Search a number
-
+
10301310320 = 245759734271
BaseRepresentation
bin10011001100000000…
…11000010101110000
3222120220201210011212
421212000120111300
5132044113412240
64422104455252
7513163456460
oct114600302560
928526653155
1010301310320
114406903a04
121bb5a7a528
13c822567c2
146da197ba0
1540457a165
hex266018570

10301310320 has 160 divisors (see below), whose sum is σ = 28223907840. Its totient is φ = 3423651840.

The previous prime is 10301310317. The next prime is 10301310343. The reversal of 10301310320 is 2301310301.

It is a super-2 number, since 2×103013103202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10301310295 and 10301310304.

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, 2409785 + ... + 2414055.

It is an arithmetic number, because the mean of its divisors is an integer number (176399424).

Almost surely, 210301310320 is an apocalyptic number.

10301310320 is a gapful number since it is divisible by the number (10) 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 10301310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111953920).

10301310320 is an abundant number, since it is smaller than the sum of its proper divisors (17922597520).

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

10301310320 is a wasteful number, since it uses less digits than its factorization.

10301310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10301310320 its reverse (2301310301), we get a palindrome (12602620621).

The spelling of 10301310320 in words is "ten billion, three hundred one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 73 80 112 118 140 146 236 280 292 295 365 413 472 511 560 584 590 730 826 944 1022 1168 1180 1460 1652 2044 2065 2360 2555 2920 3304 4088 4130 4271 4307 4720 5110 5840 6608 8176 8260 8542 8614 10220 16520 17084 17228 20440 21355 21535 29897 30149 33040 34168 34456 40880 42710 43070 59794 60298 68336 68912 85420 86140 119588 120596 149485 150745 170840 172280 239176 241192 251989 298970 301490 311783 341680 344560 478352 482384 503978 597940 602980 623566 1007956 1195880 1205960 1247132 1259945 1558915 1763923 2015912 2182481 2391760 2411920 2494264 2519890 3117830 3527846 4031824 4364962 4988528 5039780 6235660 7055692 8729924 8819615 10079560 10912405 12471320 14111384 17459848 17639230 18395197 20159120 21824810 24942640 28222768 34919696 35278460 36790394 43649620 70556920 73580788 87299240 91975985 128766379 141113840 147161576 174598480 183951970 257532758 294323152 367903940 515065516 643831895 735807880 1030131032 1287663790 1471615760 2060262064 2575327580 5150655160 10301310320