Search a number
-
+
12300101323200 = 263252854173703
BaseRepresentation
bin1011001011111101011100…
…1010111000100111000000
31121112212201012122212211200
42302333113022320213000
53103011101414320300
642054331042541200
72406436656120645
oct262772712704700
947485635585750
1012300101323200
113a12497596789
121467a13067800
136b2b82506342
14307484377dcc
15164e49446200
hexb2fd72b89c0

12300101323200 has 126 divisors (see below), whose sum is σ = 43717464344424. Its totient is φ = 3280027015680.

The previous prime is 12300101323199. The next prime is 12300101323229. The reversal of 12300101323200 is 232310100321.

12300101323200 is a `hidden beast` number, since 1 + 2 + 300 + 10 + 1 + 32 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 427072452 + ... + 427101251.

Almost surely, 212300101323200 is an apocalyptic number.

12300101323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300101323200 is an abundant number, since it is smaller than the sum of its proper divisors (31417363021224).

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

12300101323200 is a wasteful number, since it uses less digits than its factorization.

12300101323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854173731 (or 854173713 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12300101323200 its reverse (232310100321), we get a palindrome (12532411423521).

The spelling of 12300101323200 in words is "twelve trillion, three hundred billion, one hundred one million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 854173703 1708347406 2562521109 3416694812 4270868515 5125042218 6833389624 7687563327 8541737030 10250084436 12812605545 13666779248 15375126654 17083474060 20500168872 21354342575 25625211090 27333558496 30750253308 34166948120 38437816635 41000337744 42708685150 51250422180 54667116992 61500506616 64063027725 68333896240 76875633270 82000675488 85417370300 102500844360 123001013232 128126055450 136667792480 153751266540 164001350976 170834740600 192189083175 205001688720 246002026464 256252110900 273335584960 307502533080 341669481200 384378166350 410003377440 492004052928 512504221800 615005066160 683338962400 768756332700 820006754880 1025008443600 1230010132320 1366677924800 1537512665400 2050016887200 2460020264640 3075025330800 4100033774400 6150050661600 12300101323200