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314032130310 = 235611493473319
BaseRepresentation
bin1001001000111011100…
…01100000100100000110
31010000120102212002211010
410210131301200210012
520121114211132220
6400133034223050
731455003031263
oct4443561404406
91100512762733
10314032130310
111111a8a50508
1250a40884a86
13237c7caa2b2
14112b09c026a
15827e53c1e0
hex491dc60906

314032130310 has 128 divisors (see below), whose sum is σ = 773629056000. Its totient is φ = 81555909120.

The previous prime is 314032130299. The next prime is 314032130327. The reversal of 314032130310 is 13031230413.

It is a super-2 number, since 2×3140321303102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94614831 + ... + 94618149.

It is an arithmetic number, because the mean of its divisors is an integer number (6043977000).

Almost surely, 2314032130310 is an apocalyptic number.

314032130310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314032130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386814528000).

314032130310 is an abundant number, since it is smaller than the sum of its proper divisors (459596925690).

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

314032130310 is a wasteful number, since it uses less digits than its factorization.

314032130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 314032130310 its reverse (13031230413), we get a palindrome (327063360723).

The spelling of 314032130310 in words is "three hundred fourteen billion, thirty-two million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 149 183 298 305 347 366 447 610 694 745 894 915 1041 1490 1735 1830 2082 2235 3319 3470 4470 5205 6638 9089 9957 10410 16595 18178 19914 21167 27267 33190 42334 45445 49785 51703 54534 63501 90890 99570 103406 105835 127002 136335 155109 202459 211670 258515 272670 310218 317505 404918 494531 517030 607377 635010 775545 989062 1012295 1151693 1214754 1483593 1551090 2024590 2303386 2472655 2967186 3036885 3153883 3455079 4945310 5758465 6073770 6307766 6910158 7417965 9461649 11516930 14835930 15769415 17275395 18923298 30166391 31538830 34550790 47308245 60332782 70253273 90499173 94616490 140506546 150831955 171602257 180998346 210759819 301663910 343204514 351266365 421519638 452495865 514806771 702532730 858011285 904991730 1029613542 1053799095 1716022570 2107598190 2574033855 5148067710 10467737677 20935475354 31403213031 52338688385 62806426062 104677376770 157016065155 314032130310