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123241142310 = 235111335980021
BaseRepresentation
bin111001011000110111…
…1101001100000100110
3102210002212221200220020
41302301233221200212
54004344213023220
6132341033220010
711622013265616
oct1626157514046
9383085850806
10123241142310
11482a2459330
121ba75261606
13b81082c660
145d719a0a46
1533147ce040
hex1cb1be9826

123241142310 has 128 divisors (see below), whose sum is σ = 348460600320. Its totient is φ = 27501273600.

The previous prime is 123241142207. The next prime is 123241142341. The reversal of 123241142310 is 13241142321.

It is a super-2 number, since 2×1232411423102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1500100 + ... + 1580120.

It is an arithmetic number, because the mean of its divisors is an integer number (2722348440).

Almost surely, 2123241142310 is an apocalyptic number.

123241142310 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 123241142310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174230300160).

123241142310 is an abundant number, since it is smaller than the sum of its proper divisors (225219458010).

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

123241142310 is a wasteful number, since it uses less digits than its factorization.

123241142310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80414.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 123241142310 its reverse (13241142321), we get a palindrome (136482284631).

It can be divided in two parts, 1232411 and 42310, that added together give a palindrome (1274721).

The spelling of 123241142310 in words is "one hundred twenty-three billion, two hundred forty-one million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 359 390 429 715 718 858 1077 1430 1795 2145 2154 3590 3949 4290 4667 5385 7898 9334 10770 11847 14001 19745 23335 23694 28002 39490 46670 51337 59235 70005 80021 102674 118470 140010 154011 160042 240063 256685 308022 400105 480126 513370 770055 800210 880231 1040273 1200315 1540110 1760462 2080546 2400630 2640693 3120819 4401155 5201365 5281386 6241638 8802310 10402730 11443003 13203465 15604095 22886006 26406930 28727539 31208190 34329009 57215015 57455078 68658018 86182617 114430030 143637695 171645045 172365234 287275390 316002929 343290090 373458007 430913085 632005858 746916014 861826170 948008787 1120374021 1580014645 1867290035 1896017574 2240748042 3160029290 3734580070 4108038077 4740043935 5601870105 8216076154 9480087870 11203740210 12324114231 20540190385 24648228462 41080380770 61620571155 123241142310