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20201323120 = 24511531812393
BaseRepresentation
bin10010110100000101…
…111011101001110000
31221010212100112122121
4102310011323221300
5312333014314440
613140320244024
71313415261526
oct226405735160
957125315577
1020201323120
118627136070
123ab9470614
131b9c306244
14d98d30316
157d378734a
hex4b417ba70

20201323120 has 160 divisors (see below), whose sum is σ = 52515013824. Its totient is φ = 7164518400.

The previous prime is 20201323117. The next prime is 20201323171. The reversal of 20201323120 is 2132310202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20201323094 and 20201323103.

It is a congruent number.

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, 8440644 + ... + 8443036.

Almost surely, 220201323120 is an apocalyptic number.

20201323120 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 20201323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257506912).

20201323120 is an abundant number, since it is smaller than the sum of its proper divisors (32313690704).

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

20201323120 is a wasteful number, since it uses less digits than its factorization.

20201323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2645 counting only the distinct ones).

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

Adding to 20201323120 its reverse (2132310202), we get a palindrome (22333633322).

The spelling of 20201323120 in words is "twenty billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 181 212 220 265 362 424 440 530 583 724 848 880 905 1060 1166 1448 1810 1991 2120 2332 2393 2896 2915 3620 3982 4240 4664 4786 5830 7240 7964 9328 9572 9593 9955 11660 11965 14480 15928 19144 19186 19910 23320 23930 26323 31856 38288 38372 39820 46640 47860 47965 52646 76744 79640 95720 95930 105292 105523 126829 131615 153488 159280 191440 191860 210584 211046 253658 263230 383720 421168 422092 433133 507316 526460 527615 634145 767440 844184 866266 1014632 1052920 1055230 1268290 1395119 1688368 1732532 2029264 2105840 2110460 2165665 2536580 2790238 3465064 4220920 4331330 4764463 5073160 5580476 6930128 6975595 8441840 8662660 9528926 10146320 11160952 13951190 17325320 19057852 22321904 22956049 23822315 27902380 34650640 38115704 45912098 47644630 55804760 76231408 91824196 95289260 111609520 114780245 183648392 190578520 229560490 252516539 367296784 381157040 459120980 505033078 918241960 1010066156 1262582695 1836483920 2020132312 2525165390 4040264624 5050330780 10100661560 20201323120