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11042223124350 = 23521121061573409
BaseRepresentation
bin1010000010101111011111…
…0010010110111101111110
31110002121220111220122002210
42200223313302112331332
52421403433104434400
635252421031401250
72216526403624245
oct240536762267576
943077814818083
1011042223124350
113577a870a1200
1212a4082223226
1362137ac434c2
142a26370bd95c
15142378429950
hexa0af7c96f7e

11042223124350 has 144 divisors (see below), whose sum is σ = 30128975215920. Its totient is φ = 2674374912000.

The previous prime is 11042223124327. The next prime is 11042223124441. The reversal of 11042223124350 is 5342132224011.

It is a happy number.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18970446 + ... + 19543854.

It is an arithmetic number, because the mean of its divisors is an integer number (209228994555).

Almost surely, 211042223124350 is an apocalyptic number.

11042223124350 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 11042223124350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064487607960).

11042223124350 is an abundant number, since it is smaller than the sum of its proper divisors (19086752091570).

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

11042223124350 is a wasteful number, since it uses less digits than its factorization.

11042223124350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574507 (or 574491 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11042223124350 its reverse (5342132224011), we get a palindrome (16384355348361).

The spelling of 11042223124350 in words is "eleven trillion, forty-two billion, two hundred twenty-three million, one hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1061 1210 1650 1815 2122 3025 3183 3630 5305 6050 6366 9075 10610 11671 15915 18150 23342 26525 31830 35013 53050 58355 70026 79575 116710 128381 159150 175065 256762 291775 350130 385143 573409 583550 641905 770286 875325 1146818 1283810 1720227 1750650 1925715 2867045 3209525 3440454 3851430 5734090 6307499 6419050 8601135 9628575 12614998 14335225 17202270 18922497 19257150 28670450 31537495 37844994 43005675 63074990 69382489 86011350 94612485 138764978 157687475 189224970 208147467 315374950 346912445 416294934 473062425 608386949 693824890 946124850 1040737335 1216773898 1734562225 1825160847 2081474670 3041934745 3469124450 3650321694 5203686675 6083869490 6692256439 9125804235 10407373350 13384512878 15209673725 18251608470 20076769317 30419347450 33461282195 40153538634 45629021175 66922564390 73614820829 91258042350 100383846585 147229641658 167306410975 200767693170 220844462487 334612821950 368074104145 441688924974 501919232925 736148208290 1003838465850 1104222312435 1840370520725 2208444624870 3680741041450 5521111562175 11042223124350