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41231212020 = 223251914492671
BaseRepresentation
bin100110011001100100…
…100101110111110100
310221102110210120212200
4212121210211313310
51133420142241040
630535155544500
72656514343135
oct463144456764
9127373716780
1041231212020
1116538a42939
127ba82bb130
133b7118459b
141dd1d03c8c
151114b3a630
hex999925df4

41231212020 has 144 divisors (see below), whose sum is σ = 126049996800. Its totient is φ = 10908979200.

The previous prime is 41231212013. The next prime is 41231212091. The reversal of 41231212020 is 2021213214.

It is a happy number.

41231212020 is a `hidden beast` number, since 412 + 31 + 21 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41231211984 and 41231212002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15435285 + ... + 15437955.

It is an arithmetic number, because the mean of its divisors is an integer number (875347200).

Almost surely, 241231212020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41231212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63024998400).

41231212020 is an abundant number, since it is smaller than the sum of its proper divisors (84818784780).

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

41231212020 is a wasteful number, since it uses less digits than its factorization.

41231212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41231212020 its reverse (2021213214), we get a palindrome (43252425234).

The spelling of 41231212020 in words is "forty-one billion, two hundred thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 449 573 764 898 955 1146 1347 1719 1796 1910 2245 2292 2671 2694 2865 3438 3820 4041 4490 5342 5388 5730 6735 6876 8013 8082 8595 8980 10684 11460 13355 13470 16026 16164 17190 20205 24039 26710 26940 32052 34380 40065 40410 48078 53420 80130 80820 85759 96156 120195 160260 171518 240390 257277 343036 428795 480780 510161 514554 771831 857590 1020322 1029108 1199279 1286385 1530483 1543662 1715180 2040644 2398558 2550805 2572770 3060966 3087324 3597837 3859155 4591449 4797116 5101610 5145540 5996395 6121932 7195674 7652415 7718310 9182898 10203220 10793511 11992790 14391348 15304830 15436620 17989185 18365796 21587022 22957245 23985580 30609660 35978370 43174044 45914490 53967555 71956740 91828980 107935110 215870220 229062289 458124578 687186867 916249156 1145311445 1374373734 2061560601 2290622890 2748747468 3435934335 4123121202 4581245780 6871868670 8246242404 10307803005 13743737340 20615606010 41231212020