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201300122112 = 293272948023
BaseRepresentation
bin1011101101111001101…
…1000001101000000000
3201020120221200201202020
42323132123001220000
511244230312401422
6232250452121440
720354255543325
oct2733633015000
9636527621666
10201300122112
1178409742191
123301b006280
1315ca079a8bb
149a58a34b4c
15538268a95c
hex2ede6c1a00

201300122112 has 80 divisors (see below), whose sum is σ = 536483787840. Its totient is φ = 67074056192.

The previous prime is 201300122059. The next prime is 201300122113. The reversal of 201300122112 is 211221003102.

It is a super-2 number, since 2×2013001221122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201300122091 and 201300122100.

It is not an unprimeable number, because it can be changed into a prime (201300122113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4167733 + ... + 4215755.

It is an arithmetic number, because the mean of its divisors is an integer number (6706047348).

Almost surely, 2201300122112 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 201300122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268241893920).

201300122112 is an abundant number, since it is smaller than the sum of its proper divisors (335183665728).

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

201300122112 is an equidigital number, since it uses as much as digits as its factorization.

201300122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50773 (or 50757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201300122112 its reverse (211221003102), we get a palindrome (412521125214).

The spelling of 201300122112 in words is "two hundred one billion, three hundred million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2729 5458 8187 10916 16374 21832 32748 43664 48023 65496 87328 96046 130992 144069 174656 192092 261984 288138 349312 384184 523968 576276 698624 768368 1047936 1152552 1397248 1536736 2095872 2305104 3073472 4191744 4610208 6146944 9220416 12293888 18440832 24587776 36881664 73763328 131054767 262109534 393164301 524219068 786328602 1048438136 1572657204 2096876272 3145314408 4193752544 6290628816 8387505088 12581257632 16775010176 25162515264 33550020352 50325030528 67100040704 100650061056 201300122112