Search a number
-
+
110110020030 = 233531109120691
BaseRepresentation
bin110011010001100010…
…0011001000110111110
3101112012202102120111000
41212203010121012332
53301001131120110
6122330035511130
710645425504363
oct1464304310676
9345182376430
10110110020030
114277426585a
121940b7584a6
13a4ca23b40a
145487a6246a
152ce6acb1c0
hex19a31191be

110110020030 has 128 divisors (see below), whose sum is σ = 305881804800. Its totient is φ = 28154563200.

The previous prime is 110110020029. The next prime is 110110020043. The reversal of 110110020030 is 30020011011.

It is a super-2 number, since 2×1101100200302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110110019994 and 110110020021.

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, 851985 + ... + 972675.

It is an arithmetic number, because the mean of its divisors is an integer number (2389701600).

Almost surely, 2110110020030 is an apocalyptic number.

110110020030 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 110110020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152940902400).

110110020030 is an abundant number, since it is smaller than the sum of its proper divisors (195771784770).

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

110110020030 is a wasteful number, since it uses less digits than its factorization.

110110020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120847 (or 120841 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110110020030 its reverse (30020011011), we get a palindrome (140130031041).

The spelling of 110110020030 in words is "one hundred ten billion, one hundred ten million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 109 135 155 186 218 270 279 310 327 465 545 558 654 837 930 981 1090 1395 1635 1674 1962 2790 2943 3270 3379 4185 4905 5886 6758 8370 9810 10137 14715 16895 20274 29430 30411 33790 50685 60822 91233 101370 120691 152055 182466 241382 304110 362073 456165 603455 724146 912330 1086219 1206910 1810365 2172438 3258657 3620730 3741421 5431095 6517314 7482842 10862190 11224263 13155319 16293285 18707105 22448526 26310638 32586570 33672789 37414210 39465957 56121315 65776595 67345578 78931914 101018367 112242630 118397871 131553190 168363945 197329785 202036734 236795742 336727890 355193613 394659570 407814889 505091835 591989355 710387226 815629778 1010183670 1183978710 1223444667 1775968065 2039074445 2446889334 3551936130 3670334001 4078148890 6117223335 7340668002 11011002003 12234446670 18351670005 22022004006 36703340010 55055010015 110110020030