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20331120320 = 265726334511
BaseRepresentation
bin10010111011110101…
…000100011011000000
31221110220120220221022
4102323311010123000
5313114231322240
613201234245012
71316552446160
oct227365043300
957426526838
1020331120320
118693429685
123b34a26768
131bc0180614
14dac27a5a0
157ded759b5
hex4bbd446c0

20331120320 has 112 divisors (see below), whose sum is σ = 55541680128. Its totient is φ = 6943964160.

The previous prime is 20331120253. The next prime is 20331120361. The reversal of 20331120320 is 2302113302.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571865 + ... + 606375.

Almost surely, 220331120320 is an apocalyptic number.

20331120320 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 20331120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27770840064).

20331120320 is an abundant number, since it is smaller than the sum of its proper divisors (35210559808).

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

20331120320 is a wasteful number, since it uses less digits than its factorization.

20331120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34798 (or 34788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20331120320 its reverse (2302113302), we get a palindrome (22633233622).

The spelling of 20331120320 in words is "twenty billion, three hundred thirty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 263 280 320 448 526 560 1052 1120 1315 1841 2104 2240 2630 3682 4208 5260 7364 8416 9205 10520 14728 16832 18410 21040 29456 34511 36820 42080 58912 69022 73640 84160 117824 138044 147280 172555 241577 276088 294560 345110 483154 552176 589120 690220 966308 1104352 1207885 1380440 1932616 2208704 2415770 2760880 3865232 4831540 5521760 7730464 9076393 9663080 11043520 15460928 18152786 19326160 36305572 38652320 45381965 63534751 72611144 77304640 90763930 127069502 145222288 181527860 254139004 290444576 317673755 363055720 508278008 580889152 635347510 726111440 1016556016 1270695020 1452222880 2033112032 2541390040 2904445760 4066224064 5082780080 10165560160 20331120320