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1220312311414 = 272172323737423
BaseRepresentation
bin10001110000100000010…
…010000010011001110110
311022122211122220102221121
4101300200102002121312
5124443144422431124
62332334223534154
7154110322333600
oct21604022023166
94278748812847
101220312311414
11430593539319
1217860815a35a
138b0c88b10a1
14430c60aa170
1521b230982e4
hex11c20482676

1220312311414 has 144 divisors (see below), whose sum is σ = 2420625187008. Its totient is φ = 458088390144.

The previous prime is 1220312311411. The next prime is 1220312311423. The reversal of 1220312311414 is 4141132130221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220312311411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32589907 + ... + 32627329.

It is an arithmetic number, because the mean of its divisors is an integer number (16809897132).

Almost surely, 21220312311414 is an apocalyptic number.

1220312311414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1220312311414 is a deficient number, since it is larger than the sum of its proper divisors (1200312875594).

1220312311414 is a wasteful number, since it uses less digits than its factorization.

1220312311414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37539 (or 37509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1220312311414 its reverse (4141132130221), we get a palindrome (5361444441635).

The spelling of 1220312311414 in words is "one trillion, two hundred twenty billion, three hundred twelve million, three hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 7 14 17 23 34 37 46 49 74 98 119 161 238 259 322 391 518 529 629 782 833 851 1058 1127 1258 1666 1702 1813 2254 2737 3626 3703 4403 5474 5957 7406 8806 8993 11914 14467 17986 19159 19573 25921 28934 30821 37423 38318 39146 41699 51842 61642 62951 74846 83398 101269 125902 137011 202538 261961 274022 332741 440657 523922 636191 665482 708883 860729 881314 959077 1272382 1384651 1417766 1721458 1833727 1918154 2329187 2769302 3667454 4453337 4658374 6025103 8906674 9692557 12050206 14632393 16304309 19385114 19796767 23539067 29264786 31173359 31846973 32608618 39593534 42175721 47078134 62346718 63693946 67847899 84351442 102426751 135695798 138577369 164773469 204853502 222928811 277154738 329546938 336545039 445857622 541398541 673090078 716987257 732480379 970041583 1082797082 1153414283 1433974514 1464960758 1560501677 1940083166 2306828566 2355815273 3121003354 3789789787 4711630546 5127362653 7579579574 10254725306 12452166443 16490706911 24904332886 26528528509 32981413822 35891538571 53057057018 71783077142 87165165101 174330330202 610156155707 1220312311414