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130400440110 = 233531137113719
BaseRepresentation
bin111100101110001111…
…0001100111100101110
3110110120211102201012000
41321130132030330232
54114030003040420
6135523301553130
712264305311143
oct1713436147456
9413524381160
10130400440110
1150336715776
1221332a157a6
13c3b1b3b545
1464507463ca
1535d30b2690
hex1e5c78cf2e

130400440110 has 128 divisors (see below), whose sum is σ = 361575014400. Its totient is φ = 33405799680.

The previous prime is 130400440097. The next prime is 130400440133. The reversal of 130400440110 is 11044004031.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1089831 + ... + 1203549.

It is an arithmetic number, because the mean of its divisors is an integer number (2824804800).

Almost surely, 2130400440110 is an apocalyptic number.

130400440110 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 130400440110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180787507200).

130400440110 is an abundant number, since it is smaller than the sum of its proper divisors (231174574290).

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

130400440110 is a wasteful number, since it uses less digits than its factorization.

130400440110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113903 (or 113897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130400440110 its reverse (11044004031), we get a palindrome (141444444141).

The spelling of 130400440110 in words is "one hundred thirty billion, four hundred million, four hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 137 155 186 270 274 279 310 411 465 558 685 822 837 930 1233 1370 1395 1674 2055 2466 2790 3699 4110 4185 4247 6165 7398 8370 8494 12330 12741 18495 21235 25482 36990 38223 42470 63705 76446 113719 114669 127410 191115 227438 229338 341157 382230 568595 573345 682314 1023471 1137190 1146690 1705785 2046942 3070413 3411570 3525289 5117355 6140826 7050578 10234710 10575867 15352065 15579503 17626445 21151734 30704130 31159006 31727601 35252890 46738509 52879335 63455202 77897515 93477018 95182803 105758670 140215527 155795030 158638005 190365606 233692545 280431054 317276010 420646581 467385090 475914015 482964593 701077635 841293162 951828030 965929186 1402155270 1448893779 2103232905 2414822965 2897787558 4206465810 4346681337 4829645930 7244468895 8693362674 13040044011 14488937790 21733406685 26080088022 43466813370 65200220055 130400440110