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12003133100 = 2252722449619
BaseRepresentation
bin10110010110111000…
…10100011010101100
31010222112000100011012
423023130110122230
5144040300224400
65303020444352
7603306643100
oct131334243254
933875010135
1012003133100
1150aa501612
1223ab9a96b8
1311939c092a
1481c1d5900
154a3b8dd35
hex2cb7146ac

12003133100 has 54 divisors (see below), whose sum is σ = 30299349780. Its totient is φ = 4115358240.

The previous prime is 12003133099. The next prime is 12003133223. The reversal of 12003133100 is 133130021.

12003133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120031331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 17 ways as a sum of consecutive naturals, for example, 1219910 + ... + 1229709.

It is an arithmetic number, because the mean of its divisors is an integer number (561099070).

Almost surely, 212003133100 is an apocalyptic number.

12003133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003133100 is an abundant number, since it is smaller than the sum of its proper divisors (18296216680).

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

12003133100 is a wasteful number, since it uses less digits than its factorization.

12003133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449647 (or 2449633 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 12003133100 its reverse (133130021), we get a palindrome (12136263121).

The spelling of 12003133100 in words is "twelve billion, three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2449619 4899238 9798476 12248095 17147333 24496190 34294666 48992380 61240475 68589332 85736665 120031331 122480950 171473330 240062662 244961900 342946660 428683325 480125324 600156655 857366650 1200313310 1714733300 2400626620 3000783275 6001566550 12003133100