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12300103201320 = 23325113106086667
BaseRepresentation
bin1011001011111101011101…
…0010000011001000101000
31121112212201100012022010200
42302333113102003020220
53103011102404420240
642054331151112200
72406440011102344
oct262772722031050
947485640168120
1012300103201320
113a12498659850
121467a13812660
136b2b82a1315c
14307484706624
15164e496b7930
hexb2fd7483228

12300103201320 has 96 divisors (see below), whose sum is σ = 43609456818720. Its totient is φ = 2981843199360.

The previous prime is 12300103201279. The next prime is 12300103201369. The reversal of 12300103201320 is 2310230100321.

12300103201320 is a `hidden beast` number, since 1 + 2 + 300 + 10 + 32 + 0 + 1 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12300103201293 and 12300103201302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553039374 + ... + 1553047293.

It is an arithmetic number, because the mean of its divisors is an integer number (454265175195).

Almost surely, 212300103201320 is an apocalyptic number.

12300103201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300103201320 is an abundant number, since it is smaller than the sum of its proper divisors (31309353617400).

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

12300103201320 is a wasteful number, since it uses less digits than its factorization.

12300103201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106086695 (or 3106086688 counting only the distinct ones).

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

Adding to 12300103201320 its reverse (2310230100321), we get a palindrome (14610333301641).

The spelling of 12300103201320 in words is "twelve trillion, three hundred billion, one hundred three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3106086667 6212173334 9318260001 12424346668 15530433335 18636520002 24848693336 27954780003 31060866670 34166953337 37273040004 46591300005 55909560006 62121733340 68333906674 74546080008 93182600010 102500860011 111819120012 124243466680 136667813348 139773900015 170834766685 186365200020 205001720022 223638240024 273335626696 279547800030 307502580033 341669533370 372730400040 410003440044 512504300055 559095600060 615005160066 683339066740 820006880088 1025008600110 1118191200120 1230010320132 1366678133480 1537512900165 2050017200220 2460020640264 3075025800330 4100034400440 6150051600660 12300103201320