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201020120000200 = 235219232300001373
BaseRepresentation
bin101101101101001110100100…
…110110000110011011001000
3222100202100001210101101122001
4231231032210312012123020
5202322003201210001300
61551311211313240344
760225136653252334
oct5555164466063310
9870670053341561
10201020120000200
115906217717a186
121a6670675630b4
138822167a59387
14378d5d626c7c4
151838edbd7716a
hexb6d3a4d866c8

201020120000200 has 96 divisors (see below), whose sum is σ = 513360306676800. Its totient is φ = 72864043464960.

The previous prime is 201020120000197. The next prime is 201020120000209. The reversal of 201020120000200 is 2000021020102.

201020120000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201020120000209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149913287 + ... + 1150088086.

It is an arithmetic number, because the mean of its divisors is an integer number (5347503194550).

Almost surely, 2201020120000200 is an apocalyptic number.

201020120000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020120000200 is an abundant number, since it is smaller than the sum of its proper divisors (312340186676600).

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

201020120000200 is a wasteful number, since it uses less digits than its factorization.

201020120000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300001431 (or 2300001422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201020120000200 its reverse (2000021020102), we get a palindrome (203020141020302).

The spelling of 201020120000200 in words is "two hundred one trillion, twenty billion, one hundred twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 380 437 460 475 575 760 874 920 950 1150 1748 1900 2185 2300 3496 3800 4370 4600 8740 10925 17480 21850 43700 87400 2300001373 4600002746 9200005492 11500006865 18400010984 23000013730 43700026087 46000027460 52900031579 57500034325 87400052174 92000054920 105800063158 115000068650 174800104348 211600126316 218500130435 230000137300 264500157895 349600208696 423200252632 437000260870 460000274600 529000315790 874000521740 1005100600001 1058000631580 1092500652175 1322500789475 1748001043480 2010201200002 2116001263160 2185001304350 2645001578950 4020402400004 4370002608700 5025503000005 5290003157900 8040804800008 8740005217400 10051006000010 10580006315800 20102012000020 25127515000025 40204024000040 50255030000050 100510060000100 201020120000200