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23320124341410 = 235132111207323473
BaseRepresentation
bin1010100110101101000111…
…01110100011110010100010
310001120101022120011021110010
411103112203232203302202
511024034103312411120
6121333041153145350
74624552264210551
oct523264356436242
9101511276137403
1023320124341410
117481011266626
12274771a55b256
131002103004160
145a89b2ca7d98
152a69238b67e0
hex1535a3ba3ca2

23320124341410 has 128 divisors (see below), whose sum is σ = 60566805040896. Its totient is φ = 5712416317440.

The previous prime is 23320124341391. The next prime is 23320124341439. The reversal of 23320124341410 is 1414342102332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 993475434 + ... + 993498906.

It is an arithmetic number, because the mean of its divisors is an integer number (473178164382).

Almost surely, 223320124341410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320124341410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30283402520448).

23320124341410 is an abundant number, since it is smaller than the sum of its proper divisors (37246680699486).

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

23320124341410 is a wasteful number, since it uses less digits than its factorization.

23320124341410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35780.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 23320124341410 its reverse (1414342102332), we get a palindrome (24734466443742).

The spelling of 23320124341410 in words is "twenty-three trillion, three hundred twenty billion, one hundred twenty-four million, three hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 211 390 422 633 1055 1266 2110 2743 3165 5486 6330 8229 12073 13715 16458 23473 24146 27430 36219 41145 46946 60365 70419 72438 82290 117365 120730 140838 156949 181095 234730 305149 313898 352095 362190 470847 610298 704190 784745 915447 941694 1525745 1569490 1830894 2354235 2547403 3051490 4577235 4708470 4952803 5094806 7642209 9154470 9905606 12737015 14858409 15284418 24764015 25474030 29716818 33116239 38211045 49528030 64386439 66232478 74292045 76422090 99348717 128772878 148584090 165581195 193159317 198697434 283389529 321932195 331162390 386318634 496743585 566779058 643864390 850168587 965796585 993487170 1416947645 1700337174 1931593170 2833895290 3684063877 4250842935 7368127754 8501685870 11052191631 18420319385 22104383262 36840638770 55260958155 59795190619 110521916310 119590381238 179385571857 298975953095 358771143714 597951906190 777337478047 896927859285 1554674956094 1793855718570 2332012434141 3886687390235 4664024868282 7773374780470 11660062170705 23320124341410