Search a number
-
+
121102211321238 = 237232939710888961
BaseRepresentation
bin11011100010010001001110…
…010010011000110110010110
3120212210020222022211120010210
4123202101032102120312112
5111333114312044234423
61105321330550430250
734336226455632330
oct3342211622306626
9525706868746123
10121102211321238
1135650183187614
12116ba505662386
135275b7439b644
1421c95420c0450
15e0022e30cb93
hex6e244e498d96

121102211321238 has 128 divisors (see below), whose sum is σ = 299552731269120. Its totient is φ = 31874512158720.

The previous prime is 121102211321237. The next prime is 121102211321339. The reversal of 121102211321238 is 832123112201121.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102211321237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5677078 + ... + 16566038.

It is an arithmetic number, because the mean of its divisors is an integer number (2340255713040).

Almost surely, 2121102211321238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102211321238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149776365634560).

121102211321238 is an abundant number, since it is smaller than the sum of its proper divisors (178450519947882).

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

121102211321238 is a wasteful number, since it uses less digits than its factorization.

121102211321238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889422.

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 121102211321238 its reverse (832123112201121), we get a palindrome (953225323522359).

The spelling of 121102211321238 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred eleven million, three hundred twenty-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 397 406 483 609 667 794 966 1191 1218 1334 2001 2382 2779 4002 4669 5558 8337 9131 9338 11513 14007 16674 18262 23026 27393 28014 34539 54786 63917 69078 80591 127834 161182 191751 241773 264799 383502 483546 529598 794397 1588794 1853593 3707186 5560779 10888961 11121558 21777922 32666883 65333766 76222727 152445454 228668181 250446103 315779869 457336362 500892206 631559738 751338309 947339607 1502676618 1753122721 1894679214 2210459083 3506245442 4322917517 4420918166 5259368163 6631377249 7262936987 8645835034 10518736326 12968752551 13262754498 14525873974 21788810961 25937505102 30260422619 43577621922 50840558909 60520845238 90781267857 99427102891 101681117818 125364607993 152521676727 181562535714 198854205782 250729215986 298281308673 305043353454 376093823979 596562617346 695989720237 752187647958 877552255951 1391979440474 1755104511902 2087969160711 2632656767853 2883385983839 4175938321422 5265313535706 5766771967678 8650157951517 17300315903034 20183701886873 40367403773746 60551105660619 121102211321238