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11134210140 = 22325196015417
BaseRepresentation
bin10100101111010011…
…01001000001011100
31001201221222110221100
422113221221001130
5140300324211030
65040500433100
7542626140024
oct122751510134
931657873840
1011134210140
1147a3a75969
1221a89a8790
131085988531
14778a48a84
15452750360
hex297a6905c

11134210140 has 144 divisors (see below), whose sum is σ = 35617065120. Its totient is φ = 2807654400.

The previous prime is 11134210133. The next prime is 11134210177. The reversal of 11134210140 is 4101243111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052712 + ... + 2058128.

It is an arithmetic number, because the mean of its divisors is an integer number (247340730).

Almost surely, 211134210140 is an apocalyptic number.

11134210140 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 11134210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808532560).

11134210140 is an abundant number, since it is smaller than the sum of its proper divisors (24482854980).

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

11134210140 is a wasteful number, since it uses less digits than its factorization.

11134210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11134210140 its reverse (4101243111), we get a palindrome (15235453251).

The spelling of 11134210140 in words is "eleven billion, one hundred thirty-four million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 601 684 855 1140 1202 1710 1803 2404 3005 3420 3606 5409 5417 6010 7212 9015 10818 10834 11419 12020 16251 18030 21636 21668 22838 27045 27085 32502 34257 36060 45676 48753 54090 54170 57095 65004 68514 81255 97506 102771 102923 108180 108340 114190 137028 162510 171285 195012 205542 205846 228380 243765 308769 325020 342570 411084 411692 487530 513855 514615 617538 685140 926307 975060 1027710 1029230 1235076 1543845 1852614 2055420 2058460 3087690 3255617 3705228 4631535 6175380 6511234 9263070 9766851 13022468 16278085 18526140 19533702 29300553 32556170 39067404 48834255 58601106 61856723 65112340 97668510 117202212 123713446 146502765 185570169 195337020 247426892 293005530 309283615 371140338 556710507 586011060 618567230 742280676 927850845 1113421014 1237134460 1855701690 2226842028 2783552535 3711403380 5567105070 11134210140