Search a number
-
+
110111112011010 = 2351119137511277113
BaseRepresentation
bin11001000010010100111101…
…101101111001110100000010
3112102212112000201101202211010
4121002110331231321310002
5103413030024133323020
61030104202503501350
732123160001156605
oct3102247555716402
9472775021352733
10110111112011010
11320a2951159670
1210424330757856
134959582c96036
141d29598aac33c
15cae399264de0
hex64253db79d02

110111112011010 has 128 divisors (see below), whose sum is σ = 303486423459840. Its totient is φ = 25286817600000.

The previous prime is 110111112010993. The next prime is 110111112011023. The reversal of 110111112011010 is 10110211111011.

It is a super-2 number, since 2×1101111120110102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85580214 + ... + 86857326.

It is an arithmetic number, because the mean of its divisors is an integer number (2370987683280).

Almost surely, 2110111112011010 is an apocalyptic number.

110111112011010 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 110111112011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151743211729920).

110111112011010 is an abundant number, since it is smaller than the sum of its proper divisors (193375311448830).

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

110111112011010 is a wasteful number, since it uses less digits than its factorization.

110111112011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290904.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110111112011010 its reverse (10110211111011), we get a palindrome (120221323122021).

The spelling of 110111112011010 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twelve million, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 13751 27502 41253 68755 82506 137510 151261 206265 261269 302522 412530 453783 522538 756305 783807 907566 1277113 1306345 1512610 1567614 2268915 2554226 2612690 2873959 3831339 3919035 4537830 5747918 6385565 7662678 7838070 8621877 12771130 14048243 14369795 17243754 19156695 24265147 28096486 28739590 38313390 42144729 43109385 48530294 70241215 72795441 84289458 86218770 121325735 140482430 145590882 210723645 242651470 266916617 363977205 421447290 533833234 727954410 800749851 1334583085 1601499702 2669166170 4003749255 8007498510 17561580863 35123161726 52684742589 87807904315 105369485178 175615808630 193177389493 263423712945 333670036397 386354778986 526847425890 579532168479 667340072794 965886947465 1001010109191 1159064336958 1668350181985 1931773894930 2002020218382 2897660842395 3336700363970 3670370400367 5005050545955 5795321684790 7340740800734 10010101091910 11011111201101 18351852001835 22022222402202 36703704003670 55055556005505 110111112011010