Search a number
-
+
121001111121110 = 2511194111091273291
BaseRepresentation
bin11011100000110011000100…
…001111101110110011010110
3120212102121000110222021001012
4123200303010033232303112
5111324440233421333420
61105203050522332222
734326020222255303
oct3340630417566326
9525377013867035
10121001111121110
113561131280a910
12116a29ab35a072
13526948196b10c
1421c46b0cac0aa
15dec7b36ecdc5
hex6e0cc43eecd6

121001111121110 has 128 divisors (see below), whose sum is σ = 256438971532800. Its totient is φ = 40631193216000.

The previous prime is 121001111121047. The next prime is 121001111121133. The reversal of 121001111121110 is 11121111100121.

121001111121110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 94393565 + ... + 95666855.

It is an arithmetic number, because the mean of its divisors is an integer number (2003429465100).

Almost surely, 2121001111121110 is an apocalyptic number.

121001111121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121001111121110 is an abundant number, since it is smaller than the sum of its proper divisors (135437860411690).

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

121001111121110 is a wasteful number, since it uses less digits than its factorization.

121001111121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274478.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 121001111121110 its reverse (11121111100121), we get a palindrome (132122222221231).

It can be divided in two parts, 121001 and 111121110, that added together give a palindrome (111242111).

The spelling of 121001111121110 in words is "one hundred twenty-one trillion, one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 19 22 38 41 55 82 95 110 190 205 209 410 418 451 779 902 1045 1109 1558 2090 2218 2255 3895 4510 5545 7790 8569 11090 12199 17138 21071 24398 42142 42845 45469 60995 85690 90938 105355 121990 210710 227345 231781 454690 463562 500159 863911 1000318 1158905 1273291 1727822 2317810 2500795 2546582 4319555 5001590 6366455 8639110 9503021 12732910 14006201 19006042 24192529 28012402 47515105 48385058 52204931 70031005 95030210 104409862 120962645 140062010 241925290 261024655 266117819 522049310 532235638 574254241 991893689 1148508482 1330589095 1412079719 1983787378 2661178190 2824159438 2871271205 4959468445 5742542410 7060398595 9918936890 10910830579 14120797190 15532876909 21821661158 26829514661 31065753818 53659029322 54554152895 57895268479 77664384545 109108305790 115790536958 134147573305 155328769090 268295146610 289476342395 295124661271 578952684790 590249322542 636847953269 1100010101101 1273695906538 1475623306355 2200020202202 2951246612710 3184239766345 5500050505505 6368479532690 11000101011010 12100111112111 24200222224222 60500555560555 121001111121110