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12002100103000 = 235371714585729
BaseRepresentation
bin1010111010100111010011…
…1010011100011101011000
31120111101111222210101112001
42232221310322130131120
53033120300111244000
641305404430330344
72346060141415540
oct256516472343530
946441458711461
1012002100103000
113908075683317
12141a1070599b4
13690a40815597
142d6c94894320
1515c3074a846a
hexaea74e9c758

12002100103000 has 64 divisors (see below), whose sum is σ = 32097044865600. Its totient is φ = 4115005747200.

The previous prime is 12002100102989. The next prime is 12002100103009. The reversal of 12002100103000 is 30100120021.

It is a super-2 number, since 2×120021001030002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002100103009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857285865 + ... + 857299864.

It is an arithmetic number, because the mean of its divisors is an integer number (501516326025).

Almost surely, 212002100103000 is an apocalyptic number.

12002100103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002100103000 is an abundant number, since it is smaller than the sum of its proper divisors (20094944762600).

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

12002100103000 is a wasteful number, since it uses less digits than its factorization.

12002100103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714585757 (or 1714585743 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12002100103000 its reverse (30100120021), we get a palindrome (12032200223021).

The spelling of 12002100103000 in words is "twelve trillion, two billion, one hundred million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1714585729 3429171458 6858342916 8572928645 12002100103 13716685832 17145857290 24004200206 34291714580 42864643225 48008400412 60010500515 68583429160 85729286450 96016800824 120021001030 171458572900 214323216125 240042002060 300052502575 342917145800 428646432250 480084004120 600105005150 857292864500 1200210010300 1500262512875 1714585729000 2400420020600 3000525025750 6001050051500 12002100103000