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2300134052400 = 243523751804821
BaseRepresentation
bin100001011110001010101…
…011000101001000110000
322010220001022000110000220
4201132022223011020300
5300141133304134100
64520400023213040
7325115315566632
oct41361253051060
98126038013026
102300134052400
11807532787698
123119462a7180
13138b9509a112
147d481728a52
153ec7231aaa0
hex2178aac5230

2300134052400 has 120 divisors (see below), whose sum is σ = 7567233959184. Its totient is φ = 596791526400.

The previous prime is 2300134052329. The next prime is 2300134052423. The reversal of 2300134052400 is 42504310032.

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 (24).

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 23 ways as a sum of consecutive naturals, for example, 25858011 + ... + 25946810.

Almost surely, 22300134052400 is an apocalyptic number.

2300134052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300134052400 is an abundant number, since it is smaller than the sum of its proper divisors (5267099906784).

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

2300134052400 is a wasteful number, since it uses less digits than its factorization.

2300134052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51804879 (or 51804868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 2300134052400 its reverse (42504310032), we get a palindrome (2342638362432).

The spelling of 2300134052400 in words is "two trillion, three hundred billion, one hundred thirty-four million, fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 51804821 103609642 155414463 207219284 259024105 310828926 414438568 518048210 621657852 777072315 828877136 1036096420 1243315704 1295120525 1554144630 1916778377 2072192840 2486631408 2590241050 3108289260 3833556754 3885361575 4144385680 5180482100 5750335131 6216578520 7667113508 7770723150 9583891885 10360964200 11500670262 12433157040 15334227016 15541446300 19167783770 20721928400 23001340524 28751675655 30668454032 31082892600 38335567540 46002681048 47919459425 57503351310 62165785200 76671135080 92005362096 95838918850 115006702620 143758378275 153342270160 191677837700 230013405240 287516756550 383355675400 460026810480 575033513100 766711350800 1150067026200 2300134052400