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300203200201200 = 24352416101691061
BaseRepresentation
bin100010001000010001000000…
…1000110111100000111110000
31110100221010221011222100002220
41010100202001012330013300
5303322012123222414300
62542251240221441040
7120142652104622532
oct10420420106740760
91410833834870086
10300203200201200
118772150a2611aa
1229805484410180
13cb6806a73326a
14541bcab955852
1524a8e92c20da0
hex11108811bc1f0

300203200201200 has 120 divisors (see below), whose sum is σ = 985105818577776. Its totient is φ = 78101645568000.

The previous prime is 300203200201193. The next prime is 300203200201249. The reversal of 300203200201200 is 2102002302003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3002032002012002 (a number of 30 digits) contains 22 as substring.

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 300203200201200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3050796331 + ... + 3050894730.

Almost surely, 2300203200201200 is an apocalyptic number.

300203200201200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300203200201200 is an abundant number, since it is smaller than the sum of its proper divisors (684902618376576).

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

300203200201200 is a wasteful number, since it uses less digits than its factorization.

300203200201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101691123 (or 6101691112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 300203200201200 its reverse (2102002302003), we get a palindrome (302305202503203).

The spelling of 300203200201200 in words is "three hundred trillion, two hundred three billion, two hundred million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 6101691061 12203382122 18305073183 24406764244 30508455305 36610146366 48813528488 61016910610 73220292732 91525365915 97627056976 122033821220 146440585464 152542276525 183050731830 244067642440 250169333501 292881170928 305084553050 366101463660 457626829575 488135284880 500338667002 610169106100 732202927320 750508000503 915253659150 1000677334004 1220338212200 1250846667505 1464405854640 1501016001006 1830507318300 2001354668008 2440676424400 2501693335010 3002032002012 3661014636600 3752540002515 4002709336016 5003386670020 6004064004024 6254233337525 7322029273200 7505080005030 10006773340040 12008128008048 12508466675050 15010160010060 18762700012575 20013546680080 25016933350100 30020320020120 37525400025150 50033866700200 60040640040240 75050800050300 100067733400400 150101600100600 300203200201200