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11231314300140 = 22351129421164209
BaseRepresentation
bin1010001101101111111001…
…1111111100110011101100
31110202200222121022122000220
42203123332133330303230
52433003212430101030
635515332231451340
72236302303246114
oct243337637746354
943680877278026
1011231314300140
1136401a0139300
121314854526b50
136361541ac1bc
142ab854466044
15147243d1ea10
hexa36fe7fccec

11231314300140 has 144 divisors (see below), whose sum is σ = 34570337837280. Its totient is φ = 2722437273600.

The previous prime is 11231314300123. The next prime is 11231314300147. The reversal of 11231314300140 is 4100341313211.

It is a happy number.

It is a super-2 number, since 2×112313143001402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11231314300140.

It is not an unprimeable number, because it can be changed into a prime (11231314300147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68314356 + ... + 68478564.

Almost surely, 211231314300140 is an apocalyptic number.

11231314300140 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 11231314300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17285168918640).

11231314300140 is an abundant number, since it is smaller than the sum of its proper divisors (23339023537140).

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

11231314300140 is a wasteful number, since it uses less digits than its factorization.

11231314300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173664 (or 173651 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11231314300140 its reverse (4100341313211), we get a palindrome (15331655613351).

The spelling of 11231314300140 in words is "eleven trillion, two hundred thirty-one billion, three hundred fourteen million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 9421 18842 28263 37684 47105 56526 94210 103631 113052 141315 164209 188420 207262 282630 310893 328418 414524 492627 518155 565260 621786 656836 821045 985254 1036310 1139941 1243572 1554465 1642090 1806299 1970508 2072620 2279882 2463135 3108930 3284180 3419823 3612598 4559764 4926270 5418897 5699705 6217860 6839646 7225196 9031495 9852540 10837794 11399410 13679292 17099115 18062990 19869289 21675588 22798820 27094485 34198230 36125980 39738578 54188970 59607867 68396460 79477156 99346445 108377940 119215734 198692890 238431468 298039335 397385780 596078670 1192157340 1547012989 3094025978 4641038967 6188051956 7735064945 9282077934 15470129890 17017142879 18564155868 23205194835 30940259780 34034285758 46410389670 51051428637 68068571516 85085714395 92820779340 102102857274 170171428790 187188571669 204205714548 255257143185 340342857580 374377143338 510514286370 561565715007 748754286676 935942858345 1021028572740 1123131430014 1871885716690 2246262860028 2807828575035 3743771433380 5615657150070 11231314300140