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231103132232220 = 223351828923400337
BaseRepresentation
bin110100100010111111100100…
…000110100110101000011100
31010022021020120122020110122000
4310202333210012212220130
5220242343203322412340
62135303151400522300
766451436025202653
oct6442774406465034
91108236518213560
10231103132232220
1167700319331866
1221b05403480390
139bc4c163a8431
14410d64646219a
151bab7c97ccd30
hexd22fe41a6a1c

231103132232220 has 96 divisors (see below), whose sum is σ = 719026865793600. Its totient is φ = 61624129646592.

The previous prime is 231103132232173. The next prime is 231103132232239. The reversal of 231103132232220 is 22232231301132.

231103132232220 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 0 + 313 + 2 + 2 + 322 + 20 = 666.

It is a super-2 number, since 2×2311031322322202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1824109 + ... + 21576228.

It is an arithmetic number, because the mean of its divisors is an integer number (7489863185350).

Almost surely, 2231103132232220 is an apocalyptic number.

231103132232220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231103132232220 is an abundant number, since it is smaller than the sum of its proper divisors (487923733561380).

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

231103132232220 is a wasteful number, since it uses less digits than its factorization.

231103132232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23418644 (or 23418636 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 231103132232220 its reverse (22232231301132), we get a palindrome (253335363533352).

The spelling of 231103132232220 in words is "two hundred thirty-one trillion, one hundred three billion, one hundred thirty-two million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 18289 36578 54867 73156 91445 109734 164601 182890 219468 274335 329202 365780 493803 548670 658404 823005 987606 1097340 1646010 1975212 2469015 3292020 4938030 9876060 23400337 46800674 70201011 93601348 117001685 140402022 210603033 234003370 280804044 351005055 421206066 468006740 631809099 702010110 842412132 1053015165 1263618198 1404020220 2106030330 2527236396 3159045495 4212060660 6318090990 12636181980 427968763393 855937526786 1283906290179 1711875053572 2139843816965 2567812580358 3851718870537 4279687633930 5135625160716 6419531450895 7703437741074 8559375267860 11555156611611 12839062901790 15406875482148 19258594352685 23110313223222 25678125803580 38517188705370 46220626446444 57775783058055 77034377410740 115551566116110 231103132232220