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20300311240 = 23511671793847
BaseRepresentation
bin10010111001111111…
…100010101011001000
31221101202121122211021
4102321333202223020
5313033334424430
613154214042224
71316026540606
oct227177425310
957352548737
1020300311240
118677aa6330
123b26649374
131bb69842b1
14da813a876
157dc2dc07a
hex4b9fe2ac8

20300311240 has 128 divisors (see below), whose sum is σ = 50867481600. Its totient is φ = 7229249280.

The previous prime is 20300311237. The next prime is 20300311243. The reversal of 20300311240 is 4211300302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20300311237) and next prime (20300311243).

It is not an unprimeable number, because it can be changed into a prime (20300311243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5274997 + ... + 5278843.

It is an arithmetic number, because the mean of its divisors is an integer number (397402200).

Almost surely, 220300311240 is an apocalyptic number.

20300311240 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 20300311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433740800).

20300311240 is an abundant number, since it is smaller than the sum of its proper divisors (30567170360).

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

20300311240 is a wasteful number, since it uses less digits than its factorization.

20300311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20300311240 its reverse (4211300302), we get a palindrome (24511611542).

The spelling of 20300311240 in words is "twenty billion, three hundred million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 179 220 268 335 358 440 536 670 716 737 895 1340 1432 1474 1790 1969 2680 2948 3580 3685 3847 3938 5896 7160 7370 7694 7876 9845 11993 14740 15388 15752 19235 19690 23986 29480 30776 38470 39380 42317 47972 59965 76940 78760 84634 95944 119930 131923 153880 169268 211585 239860 257749 263846 338536 423170 479720 515498 527692 659615 688613 846340 1030996 1055384 1288745 1319230 1377226 1692680 2061992 2577490 2638460 2754452 2835239 3443065 5154980 5276920 5508904 5670478 6886130 7574743 10309960 11340956 13772260 14176195 15149486 22681912 27544520 28352390 30298972 37873715 46137071 56704780 60597944 75747430 92274142 113409560 151494860 184548284 230685355 302989720 369096568 461370710 507507781 922741420 1015015562 1845482840 2030031124 2537538905 4060062248 5075077810 10150155620 20300311240