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31143013110 = 23351110619883
BaseRepresentation
bin11101000000010001…
…001010101011110110
32222101102001222121000
4131000101022223312
51002240102404420
622150142504130
72151516146406
oct350021125366
988342058530
1031143013110
1112231467770
126051895046
132c24125c11
141716182806
15c24159690
hex74044aaf6

31143013110 has 128 divisors (see below), whose sum is σ = 90692421120. Its totient is φ = 7541942400.

The previous prime is 31143013103. The next prime is 31143013151. The reversal of 31143013110 is 1131034113.

31143013110 is a `hidden beast` number, since 311 + 43 + 0 + 1 + 311 + 0 = 666.

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

It is a Curzon 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, 3146229 + ... + 3156111.

It is an arithmetic number, because the mean of its divisors is an integer number (708534540).

Almost surely, 231143013110 is an apocalyptic number.

31143013110 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 31143013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45346210560).

31143013110 is an abundant number, since it is smaller than the sum of its proper divisors (59549408010).

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

31143013110 is a wasteful number, since it uses less digits than its factorization.

31143013110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10971 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31143013110 its reverse (1131034113), we get a palindrome (32274047223).

The spelling of 31143013110 in words is "thirty-one billion, one hundred forty-three million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1061 1485 2122 2970 3183 5305 6366 9549 9883 10610 11671 15915 19098 19766 23342 28647 29649 31830 35013 47745 49415 57294 58355 59298 70026 88947 95490 98830 105039 108713 116710 143235 148245 175065 177894 210078 217426 266841 286470 296490 315117 326139 350130 444735 525195 533682 543565 630234 652278 889470 978417 1050390 1087130 1334205 1575585 1630695 1956834 2668410 2935251 3151170 3261390 4892085 5870502 9784170 10485863 14676255 20971726 29352510 31457589 52429315 62915178 94372767 104858630 115344493 157287945 188745534 230688986 283118301 314575890 346033479 471863835 566236602 576722465 692066958 943727670 1038100437 1153444930 1415591505 1730167395 2076200874 2831183010 3114301311 3460334790 5190502185 6228602622 10381004370 15571506555 31143013110