Search a number
-
+
11103040424310 = 23537101144768443
BaseRepresentation
bin1010000110010010000011…
…0001111100100101110110
31110022102212222101120121220
42201210200301330211312
52423403011322034220
635340355533251210
72224111456300542
oct241444061744566
943272788346556
1011103040424310
1135a085595587a
1212b3a15933b06
13627020acca23
142a5566322a22
15143c377c0540
hexa1920c7c976

11103040424310 has 128 divisors (see below), whose sum is σ = 27657964145664. Its totient is φ = 2850253401600.

The previous prime is 11103040424309. The next prime is 11103040424363. The reversal of 11103040424310 is 1342404030111.

It is a super-2 number, since 2×111030404243102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162188949 + ... + 162257391.

It is an arithmetic number, because the mean of its divisors is an integer number (216077844888).

Almost surely, 211103040424310 is an apocalyptic number.

11103040424310 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 11103040424310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828982072832).

11103040424310 is an abundant number, since it is smaller than the sum of its proper divisors (16554923721354).

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

11103040424310 is a wasteful number, since it uses less digits than its factorization.

11103040424310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70038.

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

Adding to 11103040424310 its reverse (1342404030111), we get a palindrome (12445444454421).

The spelling of 11103040424310 in words is "eleven trillion, one hundred three billion, forty million, four hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 185 202 222 303 370 505 555 606 1010 1110 1447 1515 2894 3030 3737 4341 7235 7474 8682 11211 14470 18685 21705 22422 37370 43410 53539 56055 68443 107078 112110 136886 146147 160617 205329 267695 292294 321234 342215 410658 438441 535390 684430 730735 803085 876882 1026645 1461470 1606170 2053290 2192205 2532391 4384410 5064782 5407439 6912743 7597173 10814878 12661955 13825486 15194346 16222317 20738229 25323910 27037195 32444634 34563715 37985865 41476458 54074390 69127430 75971730 81111585 99037021 103691145 162223170 198074042 207382290 255771491 297111063 495185105 511542982 594222126 767314473 990370210 1278857455 1485555315 1534628946 2557714910 2971110630 3664369777 3836572365 7328739554 7673144730 10002739121 10993109331 18321848885 20005478242 21986218662 30008217363 36643697770 50013695605 54965546655 60016434726 100027391210 109931093310 150041086815 300082173630 370101347477 740202694954 1110304042431 1850506737385 2220608084862 3701013474770 5551520212155 11103040424310