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201120321400 = 235223231118919
BaseRepresentation
bin1011101101001110110…
…1001000111101111000
3201020010102100220112121
42323103231020331320
511243343300241100
6232220550251024
720346643345105
oct2732355107570
9636112326477
10201120321400
11783271a6259
1232b8a956a74
1315c7246664b
149a3cbcdaac
1553719c151a
hex2ed3b48f78

201120321400 has 96 divisors (see below), whose sum is σ = 488172326400. Its totient is φ = 76913020800.

The previous prime is 201120321383. The next prime is 201120321433. The reversal of 201120321400 is 4123021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10621141 + ... + 10640059.

It is an arithmetic number, because the mean of its divisors is an integer number (5085128400).

Almost surely, 2201120321400 is an apocalyptic number.

201120321400 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 201120321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244086163200).

201120321400 is an abundant number, since it is smaller than the sum of its proper divisors (287052005000).

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

201120321400 is a wasteful number, since it uses less digits than its factorization.

201120321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21269 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201120321400 its reverse (4123021102), we get a palindrome (205243342502).

The spelling of 201120321400 in words is "two hundred one billion, one hundred twenty million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 2311 4600 4622 9244 11555 18488 18919 23110 37838 46220 53153 57775 75676 92440 94595 106306 115550 151352 189190 212612 231100 265765 378380 425224 435137 462200 472975 531530 756760 870274 945950 1063060 1328825 1740548 1891900 2126120 2175685 2657650 3481096 3783800 4351370 5315300 8702740 10630600 10878425 17405480 21756850 43513700 43721809 87027400 87443618 174887236 218609045 349774472 437218090 874436180 1005601607 1093045225 1748872360 2011203214 2186090450 4022406428 4372180900 5028008035 8044812856 8744361800 10056016070 20112032140 25140040175 40224064280 50280080350 100560160700 201120321400