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12300210210000 = 24354410007007
BaseRepresentation
bin1011001011111101110110…
…1010010000010011010000
31121112212222210112220110010
42302333131222100103100
53103011312303210000
642054345532434520
72406442450465116
oct262773552202320
947485883486403
1012300210210000
113a12542aa7a79
121467a43618a40
136b2b9bc3babb
143074949ddab6
15164e53ca3d50
hexb2fdda904d0

12300210210000 has 100 divisors (see below), whose sum is σ = 39706718682752. Its totient is φ = 3280056048000.

The previous prime is 12300210209981. The next prime is 12300210210007. The reversal of 12300210210000 is 1201200321.

12300210210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300210210007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204973504 + ... + 205033503.

Almost surely, 212300210210000 is an apocalyptic number.

12300210210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300210210000 is an abundant number, since it is smaller than the sum of its proper divisors (27406508472752).

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

12300210210000 is an equidigital number, since it uses as much as digits as its factorization.

12300210210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410007038 (or 410007017 counting only the distinct ones).

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

Adding to 12300210210000 its reverse (1201200321), we get a palindrome (12301411410321).

The spelling of 12300210210000 in words is "twelve trillion, three hundred billion, two hundred ten million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 410007007 820014014 1230021021 1640028028 2050035035 2460042042 3280056056 4100070070 4920084084 6150105105 6560112112 8200140140 9840168168 10250175175 12300210210 16400280280 19680336336 20500350350 24600420420 30750525525 32800560560 41000700700 49200840840 51250875875 61501051050 82001401400 98401681680 102501751750 123002102100 153752627625 164002802800 205003503500 246004204200 256254379375 307505255250 410007007000 492008408400 512508758750 615010510500 768763138125 820014014000 1025017517500 1230021021000 1537526276250 2050035035000 2460042042000 3075052552500 4100070070000 6150105105000 12300210210000