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11205342143320 = 23513232294091273
BaseRepresentation
bin1010001100001111001001…
…1100000010001101011000
31110200012221120010100202211
42203003302130002031120
52432042020042041240
635455355122204504
72234362552460233
oct243036234021530
943605846110684
1011205342143320
113630182576496
12130b8064b3734
13633875436b80
142aa4acd3c41a
15146723b1abea
hexa30f2702358

11205342143320 has 128 divisors (see below), whose sum is σ = 28455628924800. Its totient is φ = 3940189507584.

The previous prime is 11205342143309. The next prime is 11205342143323. The reversal of 11205342143320 is 2334124350211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205342143323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693204 + ... + 4784476.

It is an arithmetic number, because the mean of its divisors is an integer number (222309600975).

Almost surely, 211205342143320 is an apocalyptic number.

11205342143320 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 11205342143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227814462400).

11205342143320 is an abundant number, since it is smaller than the sum of its proper divisors (17250286781480).

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

11205342143320 is a wasteful number, since it uses less digits than its factorization.

11205342143320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091549 (or 4091545 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 11205342143320 its reverse (2334124350211), we get a palindrome (13539466493531).

The spelling of 11205342143320 in words is "eleven trillion, two hundred five billion, three hundred forty-two million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 229 230 260 299 458 460 520 598 916 920 1145 1196 1495 1832 2290 2392 2977 2990 4580 5267 5954 5980 9160 10534 11908 11960 14885 21068 23816 26335 29770 42136 52670 59540 68471 105340 119080 136942 210680 273884 342355 547768 684710 1369420 2738840 4091273 8182546 16365092 20456365 32730184 40912730 53186549 81825460 94099279 106373098 163650920 188198558 212746196 265932745 376397116 425492392 470496395 531865490 752794232 936901517 940992790 1063730980 1223290627 1873803034 1881985580 2127461960 2446581254 3747606068 3763971160 4684507585 4893162508 6116453135 7495212136 9369015170 9786325016 12179719721 12232906270 18738030340 21548734891 24359439442 24465812540 37476060680 43097469782 48718878884 48931625080 60898598605 86194939564 97437757768 107743674455 121797197210 172389879128 215487348910 243594394420 280133553583 430974697820 487188788840 560267107166 861949395640 1120534214332 1400667767915 2241068428664 2801335535830 5602671071660 11205342143320