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11241223320 = 2335238945763
BaseRepresentation
bin10100111100000011…
…10111010010011000
31002000102100022102110
422132001313102120
5141010223121240
65055242232320
7545365551555
oct123601672230
932012308373
1011241223320
114849417508
1222187b56a0
1310a1bb6242
14788d43a2c
1545bd3cc80
hex29e077498

11241223320 has 128 divisors (see below), whose sum is σ = 35586086400. Its totient is φ = 2835047424.

The previous prime is 11241223313. The next prime is 11241223333. The reversal of 11241223320 is 2332214211.

It is a super-2 number, since 2×112412233202 (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 222759 + ... + 268521.

It is an arithmetic number, because the mean of its divisors is an integer number (278016300).

Almost surely, 211241223320 is an apocalyptic number.

11241223320 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 11241223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793043200).

11241223320 is an abundant number, since it is smaller than the sum of its proper divisors (24344863080).

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

11241223320 is a wasteful number, since it uses less digits than its factorization.

11241223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45889 (or 45885 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11241223320 its reverse (2332214211), we get a palindrome (13573437531).

The spelling of 11241223320 in words is "eleven billion, two hundred forty-one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 89 92 115 120 138 178 184 230 267 276 345 356 445 460 534 552 690 712 890 920 1068 1335 1380 1780 2047 2136 2670 2760 3560 4094 5340 6141 8188 10235 10680 12282 16376 20470 24564 30705 40940 45763 49128 61410 81880 91526 122820 137289 183052 228815 245640 274578 366104 457630 549156 686445 915260 1052549 1098312 1372890 1830520 2105098 2745780 3157647 4072907 4210196 5262745 5491560 6315294 8145814 8420392 10525490 12218721 12630588 15788235 16291628 20364535 21050980 24437442 25261176 31576470 32583256 40729070 42101960 48874884 61093605 63152940 81458140 93676861 97749768 122187210 126305880 162916280 187353722 244374420 281030583 374707444 468384305 488748840 562061166 749414888 936768610 1124122332 1405152915 1873537220 2248244664 2810305830 3747074440 5620611660 11241223320