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20430112301214 = 23711827407913109
BaseRepresentation
bin1001010010100110000011…
…00101100010000010011110
32200100002200122122021022220
410221103001211202002132
510134211332222114324
6111241244121250210
74206012141166350
oct451230145420236
980302618567286
1020430112301214
1165673a8866a90
12235b5ab333966
13b52722346a95
14508b7373d0d0
1525667a18cb79
hex1294c196209e

20430112301214 has 128 divisors (see below), whose sum is σ = 51020612812800. Its totient is φ = 5298402506880.

The previous prime is 20430112301119. The next prime is 20430112301237. The reversal of 20430112301214 is 41210321103402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1558473292 + ... + 1558486400.

It is an arithmetic number, because the mean of its divisors is an integer number (398598537600).

Almost surely, 220430112301214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430112301214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25510306406400).

20430112301214 is an abundant number, since it is smaller than the sum of its proper divisors (30590500511586).

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

20430112301214 is a wasteful number, since it uses less digits than its factorization.

20430112301214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18038.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20430112301214 its reverse (41210321103402), we get a palindrome (61640433404616).

The spelling of 20430112301214 in words is "twenty trillion, four hundred thirty billion, one hundred twelve million, three hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 827 1654 2481 4079 4962 5789 8158 9097 11578 12237 13109 17367 18194 24474 26218 27291 28553 34734 39327 44869 54582 57106 63679 78654 85659 89738 91763 127358 134607 144199 171318 183526 191037 269214 275289 288398 314083 382074 432597 550578 628166 865194 942249 1009393 1884498 2018786 3028179 3373333 6056358 6746666 10119999 10841143 20239998 21682286 23613331 32523429 37106663 47226662 53471611 65046858 70839993 74213326 75888001 106943222 111319989 119252573 141679986 151776002 160414833 222639978 227664003 238505146 259746641 320829666 357757719 374301277 455328006 519493282 588187721 715515438 748602554 779239923 834768011 1122903831 1176375442 1558479846 1669536022 1764563163 2245807662 2504304033 3529126326 4117314047 5008608066 8234628094 12351942141 24703884282 44221022297 88442044594 132663066891 265326133782 309547156079 486431245267 619094312158 928641468237 972862490534 1459293735801 1857282936474 2918587471602 3405018716869 6810037433738 10215056150607 20430112301214