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421305101132520 = 233511734372199057
BaseRepresentation
bin101111111001011001011110…
…0111001010010001011101000
32001020201101002212202110022210
41133302302330321102023220
5420210130321342220040
64052012520323445120
7154512201104363253
oct13762627471221350
92036641085673283
10421305101132520
11112271543208220
123b303901b267a0
1315110b92706917
1476073c071a09a
1533a91a4b6b480
hex17f2cbce522e8

421305101132520 has 128 divisors (see below), whose sum is σ = 1397704594861440. Its totient is φ = 100735466250240.

The previous prime is 421305101132519. The next prime is 421305101132527. The reversal of 421305101132520 is 25231101503124.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (421305101132527) 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, 2186003169 + ... + 2186195888.

It is an arithmetic number, because the mean of its divisors is an integer number (10919567147355).

Almost surely, 2421305101132520 is an apocalyptic number.

421305101132520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421305101132520 is an abundant number, since it is smaller than the sum of its proper divisors (976399493728920).

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

421305101132520 is a wasteful number, since it uses less digits than its factorization.

421305101132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372199155 (or 4372199151 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 421305101132520 its reverse (25231101503124), we get a palindrome (446536202635644).

The spelling of 421305101132520 in words is "four hundred twenty-one trillion, three hundred five billion, one hundred one million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 4372199057 8744398114 13116597171 17488796228 21860995285 26233194342 34977592456 43721990570 48094189627 52466388684 65582985855 87443981140 96188379254 104932777368 131165971710 144282568881 174887962280 192376758508 240470948135 262331943420 288565137762 319170531161 384753517016 480941896270 524663886840 577130275524 638341062322 721412844405 957511593483 961883792540 1154260551048 1276682124644 1442825688810 1595852655805 1915023186966 1923767585080 2553364249288 2885651377620 3191705311610 3510875842771 3830046373932 4787557967415 5771302755240 6383410623220 7021751685542 7660092747864 9575115934830 10532627528313 12766821246440 14043503371084 17554379213855 19150231869660 21065255056626 28087006742168 35108758427710 38300463739320 42130510113252 52663137641565 70217516855420 84261020226504 105326275283130 140435033710840 210652550566260 421305101132520