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20001332120 = 23571164710037
BaseRepresentation
bin10010101000001011…
…000001101110011000
31220121221000221120112
4102220023001232120
5311430320111440
613104413543452
71305436342430
oct225013015630
956557027515
1020001332120
118534259950
123a624a4b88
131b69a53083
14d7a5512c0
157c0e30965
hex4a82c1b98

20001332120 has 128 divisors (see below), whose sum is σ = 56199951360. Its totient is φ = 6223925760.

The previous prime is 20001332089. The next prime is 20001332179. The reversal of 20001332120 is 2123310002.

It is a happy number.

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 = 20001332095 and 20001332104.

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, 1987742 + ... + 1997778.

It is an arithmetic number, because the mean of its divisors is an integer number (439062120).

Almost surely, 220001332120 is an apocalyptic number.

20001332120 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 20001332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28099975680).

20001332120 is an abundant number, since it is smaller than the sum of its proper divisors (36198619240).

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

20001332120 is a wasteful number, since it uses less digits than its factorization.

20001332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20001332120 its reverse (2123310002), we get a palindrome (22124642122).

The spelling of 20001332120 in words is "twenty billion, one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 647 770 1294 1540 2588 3080 3235 4529 5176 6470 7117 9058 10037 12940 14234 18116 20074 22645 25880 28468 35585 36232 40148 45290 49819 50185 56936 70259 71170 80296 90580 99638 100370 110407 140518 142340 181160 199276 200740 220814 249095 281036 284680 351295 398552 401480 441628 498190 552035 562072 702590 772849 883256 996380 1104070 1405180 1545698 1992760 2208140 2810360 3091396 3864245 4416280 6182792 6493939 7728490 12987878 15456980 25975756 30913960 32469695 45457573 51951512 64939390 71433329 90915146 129878780 142866658 181830292 227287865 259757560 285733316 357166645 363660584 454575730 500033303 571466632 714333290 909151460 1000066606 1428666580 1818302920 2000133212 2500166515 2857333160 4000266424 5000333030 10000666060 20001332120