Search a number
-
+
130420144111110 = 235710340115036397
BaseRepresentation
bin11101101001110111001110…
…010111000111111000000110
3122002210001012002021112021220
4131221313032113013320012
5114043300423343023420
61141214104224221210
736320354515551420
oct3551671627077006
9562701162245256
10130420144111110
1138612966339437
121276436a46a806
1357a074a3b77a9
14242c52383b810
1510127d96c7840
hex769dce5c7e06

130420144111110 has 128 divisors (see below), whose sum is σ = 362097635088384. Its totient is φ = 29447277926400.

The previous prime is 130420144111087. The next prime is 130420144111121. The reversal of 130420144111110 is 11111441024031.

It is a happy number.

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, 1155432 + ... + 16191828.

It is an arithmetic number, because the mean of its divisors is an integer number (2828887774128).

Almost surely, 2130420144111110 is an apocalyptic number.

130420144111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130420144111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181048817544192).

130420144111110 is an abundant number, since it is smaller than the sum of its proper divisors (231677490977274).

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

130420144111110 is a wasteful number, since it uses less digits than its factorization.

130420144111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15036918.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 130420144111110 its reverse (11111441024031), we get a palindrome (141531585135141).

The spelling of 130420144111110 in words is "one hundred thirty trillion, four hundred twenty billion, one hundred forty-four million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 401 515 618 721 802 1030 1203 1442 1545 2005 2163 2406 2807 3090 3605 4010 4326 5614 6015 7210 8421 10815 12030 14035 16842 21630 28070 41303 42105 82606 84210 123909 206515 247818 289121 413030 578242 619545 867363 1239090 1445605 1734726 2891210 4336815 8673630 15036397 30072794 45109191 75181985 90218382 105254779 150363970 210509558 225545955 315764337 451091910 526273895 631528674 1052547790 1548748891 1578821685 3097497782 3157643370 4646246673 6029595197 7743744455 9292493346 10841242237 12059190394 15487488910 18088785591 21682484474 23231233365 30147975985 32523726711 36177571182 42207166379 46462466730 54206211185 60295951970 65047453422 84414332758 90443927955 108412422370 126621499137 162618633555 180887855910 211035831895 253242998274 325237267110 422071663790 621048305291 633107495685 1242096610582 1266214991370 1863144915873 3105241526455 3726289831746 4347338137037 6210483052910 8694676274074 9315724579365 13042014411111 18631449158730 21736690685185 26084028822222 43473381370370 65210072055555 130420144111110