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21123232210314 = 23213253671955467
BaseRepresentation
bin1001100110110001000101…
…10000001001110110001010
32202210100202101000211122100
410303120202300021312022
510232040334421212224
6112531513502334230
74310050246206003
oct463304260116612
982710671024570
1021123232210314
1168043489a0543
1224519a788a376
13ba2bb22a2500
14530526dbc1aa
152696e5214ac9
hex133622c09d8a

21123232210314 has 144 divisors (see below), whose sum is σ = 51247075025952. Its totient is φ = 6281645116032.

The previous prime is 21123232210279. The next prime is 21123232210321. The reversal of 21123232210314 is 41301223232112.

21123232210314 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 323 + 2 + 21 + 0 + 314 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9824409 + ... + 11779875.

It is an arithmetic number, because the mean of its divisors is an integer number (355882465458).

Almost surely, 221123232210314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21123232210314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623537512976).

21123232210314 is an abundant number, since it is smaller than the sum of its proper divisors (30123842815638).

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

21123232210314 is a wasteful number, since it uses less digits than its factorization.

21123232210314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955621 (or 1955605 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21123232210314 its reverse (41301223232112), we get a palindrome (62424455442426).

The spelling of 21123232210314 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred thirty-two million, two hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 53 67 78 106 117 134 159 169 201 234 318 338 402 477 507 603 689 871 954 1014 1206 1378 1521 1742 2067 2613 3042 3551 4134 5226 6201 7102 7839 8957 10653 11323 12402 15678 17914 21306 22646 26871 31959 33969 46163 53742 63918 67938 80613 92326 101907 138489 161226 203814 276978 415467 600119 830934 1200238 1800357 1955467 3600714 3910934 5401071 5866401 10802142 11732802 17599203 25421071 35198406 50842142 76263213 103639751 131016289 152526426 207279502 228789639 262032578 310919253 330473923 393048867 457579278 621838506 660947846 786097734 932757759 991421769 1179146601 1347316763 1703211757 1865515518 1982843538 2358293202 2694633526 2974265307 3406423514 4041950289 5109635271 5948530614 6943863317 8083900578 10219270542 12125850867 13887726634 15328905813 17515117919 20831589951 22141752841 24251701734 30657811626 35030235838 41663179902 44283505682 52545353757 62494769853 66425258523 90270223121 105090707514 124989539706 132850517046 157636061271 180540446242 199275775569 270810669363 315272122542 398551551138 541621338726 812432008089 1173512900573 1624864016178 2347025801146 3520538701719 7041077403438 10561616105157 21123232210314