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12003101400 = 2335224183009
BaseRepresentation
bin10110010110111000…
…01100101011011000
31010222111221201200010
423023130030223120
5144040243221100
65303020041520
7603306451503
oct131334145330
933874851603
1012003101400
1150aa48a814
1223ab9932a0
1311939ac384
1481c1c813a
154a3b84750
hex2cb70cad8

12003101400 has 96 divisors (see below), whose sum is σ = 37364461200. Its totient is φ = 3187507200.

The previous prime is 12003101393. The next prime is 12003101419. The reversal of 12003101400 is 410130021.

It is a happy number.

12003101400 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 (12).

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, 103096 + ... + 186104.

Almost surely, 212003101400 is an apocalyptic number.

12003101400 is a gapful number since it is divisible by the number (10) 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 12003101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682230600).

12003101400 is an abundant number, since it is smaller than the sum of its proper divisors (25361359800).

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

12003101400 is a wasteful number, since it uses less digits than its factorization.

12003101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83269 (or 83260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12003101400 its reverse (410130021), we get a palindrome (12413231421).

The spelling of 12003101400 in words is "twelve billion, three million, one hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 24100 28920 36150 48200 72300 83009 144600 166018 249027 332036 415045 498054 664072 830090 996108 1245135 1660180 1992216 2075225 2490270 3320360 4150450 4980540 6225675 8300900 9961080 12451350 16601800 20005169 24902700 40010338 49805400 60015507 80020676 100025845 120031014 160041352 200051690 240062028 300077535 400103380 480124056 500129225 600155070 800206760 1000258450 1200310140 1500387675 2000516900 2400620280 3000775350 4001033800 6001550700 12003101400