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231100134100020 = 2232529290091526149
BaseRepresentation
bin110100100010111100110001…
…011001101000110000110100
31010022020221211200201120102200
4310202330301121220300310
5220242321033312200040
62135301534100304500
766451301521406523
oct6442746131506064
91108227750646380
10231100134100020
11676aa01aa27759
1221b049073a2130
139bc48591c9103
14410d4401c44ba
151bab6a14a7630
hexd22f31668c34

231100134100020 has 144 divisors (see below), whose sum is σ = 725201756370000. Its totient is φ = 59499553591296.

The previous prime is 231100134100001. The next prime is 231100134100111. The reversal of 231100134100020 is 20001431001132.

231100134100020 is a `hidden beast` number, since 231 + 1 + 0 + 0 + 1 + 3 + 410 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 85742340400656 + 145357793699364 = 9259716^2 + 12056442^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231100134099966 and 231100134100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150663906 + ... + 152190054.

It is an arithmetic number, because the mean of its divisors is an integer number (5036123308125).

Almost surely, 2231100134100020 is an apocalyptic number.

231100134100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231100134100020 is an abundant number, since it is smaller than the sum of its proper divisors (494101622269980).

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

231100134100020 is a wasteful number, since it uses less digits than its factorization.

231100134100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555202 (or 1555197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231100134100020 its reverse (20001431001132), we get a palindrome (251101565101152).

The spelling of 231100134100020 in words is "two hundred thirty-one trillion, one hundred billion, one hundred thirty-four million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 29009 58018 87027 116036 145045 174054 261081 290090 348108 435135 522162 580180 841261 870270 1044324 1305405 1526149 1682522 1740540 2523783 2610810 3052298 3365044 4206305 4578447 5047566 5221620 6104596 7571349 7630745 8412610 9156894 10095132 12618915 13735341 15142698 15261490 16825220 18313788 22892235 25237830 27470682 30285396 30522980 37856745 44258321 45784470 50475660 54941364 68676705 75713490 88516642 91568940 132774963 137353410 151426980 177033284 221291605 265549926 274706820 398324889 442583210 531099852 663874815 796649778 885166420 1327749630 1593299556 1991624445 2655499260 3983248890 7966497780 44272056341 88544112682 132816169023 177088225364 221360281705 265632338046 398448507069 442720563410 531264676092 664080845115 796897014138 885441126820 1283889633889 1328161690230 1593794028276 1992242535345 2567779267778 2656323380460 3851668901667 3984485070690 5135558535556 6419448169445 7703337803334 7968970141380 11555006705001 12838896338890 15406675606668 19258344508335 23110013410002 25677792677780 38516689016670 46220026820004 57775033525005 77033378033340 115550067050010 231100134100020