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12304102234000 = 245361100853297
BaseRepresentation
bin1011001100001100010110…
…1001001001011110010000
31121120021001001002012200011
42303003011221021132100
53103042300132442000
642100232044204304
72406641060236633
oct263030551113620
947507031065604
1012304102234000
113a1415aa42235
12146874ab39694
136b336c386495
14307743887c1a
151650d07eb2ba
hexb30c5a49790

12304102234000 has 80 divisors (see below), whose sum is σ = 30239046045936. Its totient is φ = 4840958208000.

The previous prime is 12304102233979. The next prime is 12304102234079. The reversal of 12304102234000 is 43220140321.

It can be written as a sum of positive squares in 8 ways, for example, as 6843393216144 + 5460709017856 = 2615988^2 + 2336816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50304649 + ... + 50548648.

Almost surely, 212304102234000 is an apocalyptic number.

12304102234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12304102234000 is an abundant number, since it is smaller than the sum of its proper divisors (17934943811936).

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

12304102234000 is a wasteful number, since it uses less digits than its factorization.

12304102234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100853381 (or 100853365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12304102234000 its reverse (43220140321), we get a palindrome (12347322374321).

The spelling of 12304102234000 in words is "twelve trillion, three hundred four billion, one hundred two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 122000 100853297 201706594 403413188 504266485 806826376 1008532970 1613652752 2017065940 2521332425 4034131880 5042664850 6152051117 8068263760 10085329700 12304102234 12606662125 20170659400 24608204468 25213324250 30760255585 40341318800 49216408936 50426648500 61520511170 98432817872 100853297000 123041022340 153801277925 201706594000 246082044680 307602555850 492164089360 615205111700 769006389625 1230410223400 1538012779250 2460820446800 3076025558500 6152051117000 12304102234000