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100030201200 = 24325227786167
BaseRepresentation
bin101110100101001000…
…0111011110101110000
3100120012021110201111200
41131022100323311300
53114330212414300
6113541522211200
710140561452436
oct1351220736560
9316167421450
10100030201200
1139471493776
1217477ab3b00
139581b55187
144bad082d56
152906c03200
hex174a43bd70

100030201200 has 90 divisors (see below), whose sum is σ = 347132596824. Its totient is φ = 26674719360.

The previous prime is 100030201169. The next prime is 100030201237. The reversal of 100030201200 is 2102030001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1000302012002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13889484 + ... + 13896683.

Almost surely, 2100030201200 is an apocalyptic number.

100030201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100030201200 is an abundant number, since it is smaller than the sum of its proper divisors (247102395624).

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

100030201200 is a wasteful number, since it uses less digits than its factorization.

100030201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27786191 (or 27786177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100030201200 its reverse (2102030001), we get a palindrome (102132231201).

The spelling of 100030201200 in words is "one hundred billion, thirty million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 27786167 55572334 83358501 111144668 138930835 166717002 222289336 250075503 277861670 333434004 416792505 444578672 500151006 555723340 666868008 694654175 833585010 1000302012 1111446680 1250377515 1333736016 1389308350 1667170020 2000604024 2083962525 2222893360 2500755030 2778616700 3334340040 4001208048 4167925050 5001510060 5557233400 6251887575 6668680080 8335850100 10003020120 11114466800 12503775150 16671700200 20006040240 25007550300 33343400400 50015100600 100030201200