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123244421111310 = 235432143301914767
BaseRepresentation
bin11100000001011100010011…
…111100001101111000001110
3121011101001101121111020221210
4130001130103330031320032
5112123214033301030220
61114041412213035250
734650054434462352
oct3401342374157016
9534331347436853
10123244421111310
11362a6735818524
12119a5717325b26
13539cb8c273495
1422610c1867462
15e3ad0c00e6e0
hex701713f0de0e

123244421111310 has 128 divisors (see below), whose sum is σ = 302927416197120. Its totient is φ = 32073092989056.

The previous prime is 123244421111257. The next prime is 123244421111333. The reversal of 123244421111310 is 13111124442321.

It is a super-2 number, since 2×1232444211113102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8345927547 + ... + 8345942313.

It is an arithmetic number, because the mean of its divisors is an integer number (2366620439040).

Almost surely, 2123244421111310 is an apocalyptic number.

123244421111310 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 123244421111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151463708098560).

123244421111310 is an abundant number, since it is smaller than the sum of its proper divisors (179682995085810).

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

123244421111310 is a wasteful number, since it uses less digits than its factorization.

123244421111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19982.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 123244421111310 its reverse (13111124442321), we get a palindrome (136355545553631).

The spelling of 123244421111310 in words is "one hundred twenty-three trillion, two hundred forty-four billion, four hundred twenty-one million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 2143 3019 4286 6038 6429 9057 10715 12858 14767 15095 18114 21430 29534 30190 32145 44301 45285 64290 73835 88602 90570 92149 129817 147670 184298 221505 259634 276447 389451 443010 460745 552894 634981 649085 778902 921490 1269962 1298170 1382235 1904943 1947255 2764470 3174905 3809886 3894510 6349810 6469717 9524715 12939434 19049430 19409151 31645681 32348585 38818302 44581573 63291362 64697170 89163146 94937043 97045755 133744719 158228405 189874086 194091510 222907865 267489438 278197831 316456810 445815730 474685215 556395662 668723595 834593493 949370430 1337447190 1360764283 1390989155 1669186986 1917007639 2721528566 2781978310 3834015278 4082292849 4172967465 5751022917 6803821415 8164585698 8345934930 9585038195 11502045834 13607642830 19170076390 20411464245 28755114585 40822928490 57510229170 95538310939 191076621878 286614932817 477691554695 573229865634 955383109390 1433074664085 2866149328170 4108147370377 8216294740754 12324442111131 20540736851885 24648884222262 41081473703770 61622210555655 123244421111310