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20310111120 = 24351324127011
BaseRepresentation
bin10010111010100100…
…111011001110010000
31221102110001112201210
4102322210323032100
5313043342023440
613155204100120
71316206044645
oct227244731620
957373045653
1020310111120
11868258a102
123b29994640
131bb8a05a40
14da956bdcc
157dd0c5a80
hex4ba93b390

20310111120 has 160 divisors (see below), whose sum is σ = 68088392064. Its totient is φ = 4978483200.

The previous prime is 20310111103. The next prime is 20310111137. The reversal of 20310111120 is 2111101302.

It is an interprime number because it is at equal distance from previous prime (20310111103) and next prime (20310111137).

It is a super-2 number, since 2×203101111202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20310111096 and 20310111105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738415 + ... + 765425.

Almost surely, 220310111120 is an apocalyptic number.

20310111120 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 20310111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34044196032).

20310111120 is an abundant number, since it is smaller than the sum of its proper divisors (47778280944).

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

20310111120 is a wasteful number, since it uses less digits than its factorization.

20310111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27281 (or 27275 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 20310111120 its reverse (2111101302), we get a palindrome (22421212422).

The spelling of 20310111120 in words is "twenty billion, three hundred ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 241 260 312 390 482 520 624 723 780 964 1040 1205 1446 1560 1928 2410 2892 3120 3133 3615 3856 4820 5784 6266 7230 9399 9640 11568 12532 14460 15665 18798 19280 25064 27011 28920 31330 37596 46995 50128 54022 57840 62660 75192 81033 93990 108044 125320 135055 150384 162066 187980 216088 250640 270110 324132 351143 375960 405165 432176 540220 648264 702286 751920 810330 1053429 1080440 1296528 1404572 1620660 1755715 2106858 2160880 2809144 3241320 3511430 4213716 5267145 5618288 6482640 6509651 7022860 8427432 10534290 13019302 14045720 16854864 19528953 21068580 26038604 28091440 32548255 39057906 42137160 52077208 65096510 78115812 84274320 84625463 97644765 104154416 130193020 156231624 169250926 195289530 253876389 260386040 312463248 338501852 390579060 423127315 507752778 520772080 677003704 781158120 846254630 1015505556 1269381945 1354007408 1562316240 1692509260 2031011112 2538763890 3385018520 4062022224 5077527780 6770037040 10155055560 20310111120