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201302301120 = 2635491427067
BaseRepresentation
bin1011101101111010001…
…1010101100111000000
3201020121002210102210020
42323132203111213000
511244231342113440
6232251010533440
720354313220164
oct2733643254700
9636532712706
10201302301120
117840a9a0318
123301b897280
1315ca108165b
149a59040ca4
15538296b3d0
hex2ede8d59c0

201302301120 has 112 divisors (see below), whose sum is σ = 640438005888. Its totient is φ = 53571159040.

The previous prime is 201302301091. The next prime is 201302301157. The reversal of 201302301120 is 21103203102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201302301120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257827 + ... + 684893.

Almost surely, 2201302301120 is an apocalyptic number.

201302301120 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 201302301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320219002944).

201302301120 is an abundant number, since it is smaller than the sum of its proper divisors (439135704768).

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

201302301120 is a wasteful number, since it uses less digits than its factorization.

201302301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427578 (or 427568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201302301120 its reverse (21103203102), we get a palindrome (222405504222).

The spelling of 201302301120 in words is "two hundred one billion, three hundred two million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 491 960 982 1473 1964 2455 2946 3928 4910 5892 7365 7856 9820 11784 14730 15712 19640 23568 29460 31424 39280 47136 58920 78560 94272 117840 157120 235680 427067 471360 854134 1281201 1708268 2135335 2562402 3416536 4270670 5124804 6406005 6833072 8541340 10249608 12812010 13666144 17082680 20499216 25624020 27332288 34165360 40998432 51248040 68330720 81996864 102496080 136661440 204992160 209689897 409984320 419379794 629069691 838759588 1048449485 1258139382 1677519176 2096898970 2516278764 3145348455 3355038352 4193797940 5032557528 6290696910 6710076704 8387595880 10065115056 12581393820 13420153408 16775191760 20130230112 25162787640 33550383520 40260460224 50325575280 67100767040 100651150560 201302301120