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131414042412230 = 252983619214249
BaseRepresentation
bin11101111000010100110111…
…010100010000010011000110
3122020022001121120021112110112
4131320110313110100103012
5114211041424324142410
61143254435550153022
736452231322663044
oct3570246724202306
9566261546245415
10131414042412230
1138966422a91686
12128a4b08ab2772
1358433a24ca706
14246468b761394
15102d5aa418105
hex7785375104c6

131414042412230 has 96 divisors (see below), whose sum is σ = 248068362780000. Its totient is φ = 50057010092544.

The previous prime is 131414042412227. The next prime is 131414042412329. The reversal of 131414042412230 is 32214240414131.

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, 9222678146 + ... + 9222692394.

It is an arithmetic number, because the mean of its divisors is an integer number (2584045445625).

Almost surely, 2131414042412230 is an apocalyptic number.

131414042412230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131414042412230 is a deficient number, since it is larger than the sum of its proper divisors (116654320367770).

131414042412230 is an equidigital number, since it uses as much as digits as its factorization.

131414042412230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 14987 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131414042412230 its reverse (32214240414131), we get a palindrome (163628282826361).

The spelling of 131414042412230 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-two million, four hundred twelve thousand, two hundred thirty".

Divisors: 1 2 5 10 29 58 83 145 166 290 415 619 830 1238 2407 3095 4814 6190 12035 14249 17951 24070 28498 35902 51377 71245 89755 102754 142490 179510 256885 383161 413221 513770 766322 826442 1182667 1489933 1915805 2066105 2365334 2979866 3831610 4132210 5913335 7449665 8820131 11111669 11826670 14899330 17640262 22223338 31802363 34297343 44100655 55558345 63604726 68594686 88201310 111116690 159011815 171486715 255783799 318023630 342973430 511567598 732070873 922268527 1278918995 1464141746 1844537054 2557837990 3660354365 4611342635 5459661089 7320708730 9222685270 10919322178 21230055317 27298305445 42460110634 54596610890 106150276585 158330171581 212300553170 316660343162 453151870387 791650857905 906303740774 1583301715810 2265759351935 4531518703870 13141404241223 26282808482446 65707021206115 131414042412230