Search a number
-
+
121130000310 = 235116112747381
BaseRepresentation
bin111000011001111101…
…0010001111110110110
3102120122202110120111210
41300303322101332312
53441033240002220
6131351340142250
711515500004644
oct1606372217666
9376582416453
10121130000310
1147409800080
121b586237986
13b5653401c7
145c11454194
15323e2b56e0
hex1c33e91fb6

121130000310 has 128 divisors (see below), whose sum is σ = 324884348928. Its totient is φ = 28655424000.

The previous prime is 121130000279. The next prime is 121130000311. The reversal of 121130000310 is 13000031121.

It is a super-2 number, since 2×1211300003102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121130000311) 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, 2532820 + ... + 2580200.

It is an arithmetic number, because the mean of its divisors is an integer number (2538158976).

Almost surely, 2121130000310 is an apocalyptic number.

121130000310 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 121130000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162442174464).

121130000310 is an abundant number, since it is smaller than the sum of its proper divisors (203754348618).

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

121130000310 is a wasteful number, since it uses less digits than its factorization.

121130000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47590.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 121130000310 its reverse (13000031121), we get a palindrome (134130031431).

The spelling of 121130000310 in words is "one hundred twenty-one billion, one hundred thirty million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 127 165 183 254 305 330 366 381 610 635 671 762 915 1270 1342 1397 1830 1905 2013 2794 3355 3810 4026 4191 6710 6985 7747 8382 10065 13970 15494 20130 20955 23241 38735 41910 46482 47381 77470 85217 94762 116205 142143 170434 232410 236905 255651 284286 426085 473810 511302 521191 710715 852170 1042382 1278255 1421430 1563573 2556510 2605955 2890241 3127146 5211910 5780482 6017387 7817865 8670723 12034774 14451205 15635730 17341446 18052161 28902410 30086935 31792651 36104322 43353615 60173870 63585302 66191257 86707230 90260805 95377953 132382514 158963255 180521610 190755906 198573771 317926510 330956285 367060607 397147542 476889765 661912570 734121214 953779530 992868855 1101181821 1835303035 1985737710 2202363642 3670606070 4037666677 5505909105 8075333354 11011818210 12113000031 20188333385 24226000062 40376666770 60565000155 121130000310