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121130023100 = 22523119321049
BaseRepresentation
bin111000011001111101…
…0010111100010111100
3102120122202111201202212
41300303322113202330
53441033241214400
6131351340435552
711515500131252
oct1606372274274
9376582451685
10121130023100
1147409816209
121b586248bb8
13b56534a6a8
145c1145c5d2
15323e2bc335
hex1c33e978bc

121130023100 has 108 divisors (see below), whose sum is σ = 273004401600. Its totient is φ = 46601625600.

The previous prime is 121130023099. The next prime is 121130023117. The reversal of 121130023100 is 1320031121.

It is a super-2 number, since 2×1211300231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115471376 + ... + 115472424.

Almost surely, 2121130023100 is an apocalyptic number.

121130023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121130023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136502200800).

121130023100 is an abundant number, since it is smaller than the sum of its proper divisors (151874378500).

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

121130023100 is a wasteful number, since it uses less digits than its factorization.

121130023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 121130023100 its reverse (1320031121), we get a palindrome (122450054221).

The spelling of 121130023100 in words is "one hundred twenty-one billion, one hundred thirty million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 193 310 386 620 772 775 965 1049 1550 1930 2098 3100 3860 4196 4825 5245 5983 9650 10490 11966 19300 20980 23932 26225 29915 32519 37249 52450 59830 65038 74498 104900 119660 130076 148996 149575 162595 186245 202457 299150 325190 372490 404914 598300 650380 744980 809828 812975 931225 1012285 1154719 1625950 1862450 2024570 2309438 3251900 3724900 4049140 4618876 5061425 5773595 6276167 10122850 11547190 12552334 20245700 23094380 25104668 28867975 31380835 39074201 57735950 62761670 78148402 115471900 125523340 156296804 156904175 195371005 313808350 390742010 627616700 781484020 976855025 1211300231 1953710050 2422600462 3907420100 4845200924 6056501155 12113002310 24226004620 30282505775 60565011550 121130023100