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10311342120 = 2334521115083
BaseRepresentation
bin10011001101001101…
…01001100000101000
3222121121121110020000
421212212221200220
5132104200421440
64423103503000
7513344650632
oct114646514050
928547543200
1010311342120
114411535a52
121bb92b7a60
13c84359991
146db649a52
154053ac730
hex2669a9828

10311342120 has 160 divisors (see below), whose sum is σ = 34824129120. Its totient is φ = 2736478080.

The previous prime is 10311342101. The next prime is 10311342169. The reversal of 10311342120 is 2124311301.

10311342120 is a `hidden beast` number, since 1 + 0 + 311 + 342 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10311342093 and 10311342102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 676099 + ... + 691181.

It is an arithmetic number, because the mean of its divisors is an integer number (217650807).

Almost surely, 210311342120 is an apocalyptic number.

10311342120 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 10311342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412064560).

10311342120 is an abundant number, since it is smaller than the sum of its proper divisors (24512787000).

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

10311342120 is a wasteful number, since it uses less digits than its factorization.

10311342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15317 (or 15304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10311342120 its reverse (2124311301), we get a palindrome (12435653421).

The spelling of 10311342120 in words is "ten billion, three hundred eleven million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 211 216 270 324 360 405 422 540 633 648 810 844 1055 1080 1266 1620 1688 1899 2110 2532 3165 3240 3798 4220 5064 5697 6330 7596 8440 9495 11394 12660 15083 15192 17091 18990 22788 25320 28485 30166 34182 37980 45249 45576 56970 60332 68364 75415 75960 85455 90498 113940 120664 135747 136728 150830 170910 180996 226245 227880 271494 301660 341820 361992 407241 452490 542988 603320 678735 683640 814482 904980 1085976 1221723 1357470 1628964 1809960 2036205 2443446 2714940 3182513 3257928 4072410 4886892 5429880 6108615 6365026 8144820 9547539 9773784 12217230 12730052 15912565 16289640 19095078 24434460 25460104 28642617 31825130 38190156 47737695 48868920 57285234 63650260 76380312 85927851 95475390 114570468 127300520 143213085 171855702 190950780 229140936 257783553 286426170 343711404 381901560 429639255 515567106 572852340 687422808 859278510 1031134212 1145704680 1288917765 1718557020 2062268424 2577835530 3437114040 5155671060 10311342120