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11231743104 = 27324325273
BaseRepresentation
bin10100111010111011…
…01100110010000000
31001222202111200000100
422131131230302000
5141000311234404
65054303122400
7545222145501
oct123535546200
931882450010
1011231743104
11484403191a
1222155a3400
13109cc4714a
14787996ba8
1545b0b8d39
hex29d76cc80

11231743104 has 144 divisors (see below), whose sum is σ = 33095905830. Its totient is φ = 3656153088.

The previous prime is 11231743097. The next prime is 11231743109. The reversal of 11231743104 is 40134713211.

It can be written as a sum of positive squares in only one way, i.e., 9611841600 + 1619901504 = 98040^2 + 40248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11231743109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2127412 + ... + 2132684.

Almost surely, 211231743104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547952915).

11231743104 is an abundant number, since it is smaller than the sum of its proper divisors (21864162726).

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

11231743104 is an equidigital number, since it uses as much as digits as its factorization.

11231743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11231743104 in words is "eleven billion, two hundred thirty-one million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 1849 2064 2752 3096 3698 4128 5273 5504 5547 6192 7396 8256 10546 11094 12384 14792 15819 16512 16641 21092 22188 24768 29584 31638 33282 42184 44376 47457 49536 59168 63276 66564 84368 88752 94914 118336 126552 133128 168736 177504 189828 226739 236672 253104 266256 337472 355008 379656 453478 506208 532512 674944 680217 710016 759312 906956 1012416 1065024 1360434 1518624 1813912 2024832 2040651 2130048 2720868 3037248 3627824 4081302 5441736 6074496 7255648 8162604 9749777 10883472 14511296 16325208 19499554 21766944 29022592 29249331 32650416 38999108 43533888 58498662 65300832 77998216 87067776 87747993 116997324 130601664 155996432 175495986 233994648 261203328 311992864 350991972 467989296 623985728 701983944 935978592 1247971456 1403967888 1871957184 2807935776 3743914368 5615871552 11231743104