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201022012020 = 223561229239843
BaseRepresentation
bin1011101100110111011…
…0000111101001110100
3201012212120101021102110
42323031312013221310
511243143113341040
6232203115211020
720344340623614
oct2731566075164
9635776337373
10201022012020
1178286759a35
1232b61a46a70
1315c57c9550b
149a2db1ca44
155368052980
hex2ecdd87a74

201022012020 has 96 divisors (see below), whose sum is σ = 574589473920. Its totient is φ = 52496616960.

The previous prime is 201022012007. The next prime is 201022012027. The reversal of 201022012020 is 20210220102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201022011987 and 201022012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022012027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718219 + ... + 958061.

It is an arithmetic number, because the mean of its divisors is an integer number (5985307020).

Almost surely, 2201022012020 is an apocalyptic number.

201022012020 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 201022012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287294736960).

201022012020 is an abundant number, since it is smaller than the sum of its proper divisors (373567461900).

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

201022012020 is a wasteful number, since it uses less digits than its factorization.

201022012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240145 (or 240143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201022012020 its reverse (20210220102), we get a palindrome (221232232122).

The spelling of 201022012020 in words is "two hundred one billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 229 244 305 366 458 610 687 732 915 916 1145 1220 1374 1830 2290 2748 3435 3660 4580 6870 13740 13969 27938 41907 55876 69845 83814 139690 167628 209535 239843 279380 419070 479686 719529 838140 959372 1199215 1439058 2398430 2878116 3597645 4796860 7195290 14390580 14630423 29260846 43891269 54924047 58521692 73152115 87782538 109848094 146304230 164772141 175565076 219456345 219696188 274620235 292608460 329544282 438912690 549240470 659088564 823860705 877825380 1098480940 1647721410 3295442820 3350366867 6700733734 10051100601 13401467468 16751834335 20102201202 33503668670 40204402404 50255503005 67007337340 100511006010 201022012020