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232414342130300 = 2252111015873563779
BaseRepresentation
bin110100110110000100101110…
…010011011010101001111100
31010110220121001002222202010112
4310312010232103122221330
5220430334033041132200
62142145401431325152
766645245026351061
oct6466045623325174
91113817032882115
10232414342130300
1168066407115330
1222097558b207b8
139c8b769a3b855
144156cb2718c68
151bd096c904535
hexd3612e4daa7c

232414342130300 has 144 divisors (see below), whose sum is σ = 556582265205120. Its totient is φ = 83534956320000.

The previous prime is 232414342130233. The next prime is 232414342130317. The reversal of 232414342130300 is 3031243414232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63433811 + ... + 66997589.

It is an arithmetic number, because the mean of its divisors is an integer number (3865154619480).

Almost surely, 2232414342130300 is an apocalyptic number.

232414342130300 is a gapful number since it is divisible by the number (20) 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 232414342130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278291132602560).

232414342130300 is an abundant number, since it is smaller than the sum of its proper divisors (324167923074820).

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

232414342130300 is a wasteful number, since it uses less digits than its factorization.

232414342130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564492 (or 3564485 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 232414342130300 its reverse (3031243414232), we get a palindrome (235445585544532).

The spelling of 232414342130300 in words is "two hundred thirty-two trillion, four hundred fourteen billion, three hundred forty-two million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 587 1010 1100 1111 1174 2020 2222 2348 2525 2935 4444 5050 5555 5870 6457 10100 11110 11740 12914 14675 22220 25828 27775 29350 32285 55550 58700 59287 64570 111100 118574 129140 161425 237148 296435 322850 592870 645700 652157 1185740 1304314 1482175 2608628 2964350 3260785 3563779 5928700 6521570 7127558 13043140 14255116 16303925 17818895 32607850 35637790 39201569 65215700 71275580 78403138 89094475 156806276 178188950 196007845 356377900 359941679 392015690 719883358 784031380 980039225 1439766716 1799708395 1960078450 2091938273 3599416790 3920156900 3959358469 4183876546 7198833580 7918716938 8367753092 8998541975 10459691365 15837433876 17997083950 19796792345 20919382730 23011321003 35994167900 39593584690 41838765460 46022642006 52298456825 79187169380 92045284012 98983961725 104596913650 115056605015 197967923450 209193827300 211285765573 230113210030 395935846900 422571531146 460226420060 575283025075 845143062292 1056428827865 1150566050150 2112857655730 2301132100300 2324143421303 4225715311460 4648286842606 5282144139325 9296573685212 10564288278650 11620717106515 21128576557300 23241434213030 46482868426060 58103585532575 116207171065150 232414342130300