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12303013200 = 2435241924469
BaseRepresentation
bin10110111010101000…
…10001010101010000
31011202102021211022120
423131110101111100
5200144032410300
65352452134240
7613610613102
oct133524212520
934672254276
1012303013200
115243803a05
122474307380
131210b78c8a
14849d77572
154c01773a0
hex2dd511550

12303013200 has 120 divisors (see below), whose sum is σ = 39506325600. Its totient is φ = 3272839680.

The previous prime is 12303013189. The next prime is 12303013207. The reversal of 12303013200 is 231030321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12303013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303013207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490566 + ... + 515034.

It is an arithmetic number, because the mean of its divisors is an integer number (329219380).

Almost surely, 212303013200 is an apocalyptic number.

12303013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19753162800).

12303013200 is an abundant number, since it is smaller than the sum of its proper divisors (27203312400).

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

12303013200 is a wasteful number, since it uses less digits than its factorization.

12303013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24909 (or 24898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12303013200 its reverse (231030321), we get a palindrome (12534043521).

The spelling of 12303013200 in words is "twelve billion, three hundred three million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 419 600 838 1200 1257 1676 2095 2514 3352 4190 5028 6285 6704 8380 10056 10475 12570 16760 20112 20950 24469 25140 31425 33520 41900 48938 50280 62850 73407 83800 97876 100560 122345 125700 146814 167600 195752 244690 251400 293628 367035 391504 489380 502800 587256 611725 734070 978760 1174512 1223450 1468140 1835175 1957520 2446900 2936280 3670350 4893800 5872560 7340700 9787600 10252511 14681400 20505022 29362800 30757533 41010044 51262555 61515066 82020088 102525110 123030132 153787665 164040176 205050220 246060264 256312775 307575330 410100440 492120528 512625550 615150660 768938325 820200880 1025251100 1230301320 1537876650 2050502200 2460602640 3075753300 4101004400 6151506600 12303013200