Search a number
-
+
231303212320 = 25519219320749
BaseRepresentation
bin1101011101101010111…
…1101110110100100000
3211010000220210122002111
43113122233232310200
512242202110243240
6254131554325104
722465623602455
oct3273257566440
9733026718074
10231303212320
118a1056a6a04
12389b2b89794
1318a726a540b
14b2a364582c
15603b6c51ea
hex35dabeed20

231303212320 has 144 divisors (see below), whose sum is σ = 579744459000. Its totient is φ = 87193387008.

The previous prime is 231303212267. The next prime is 231303212323. The reversal of 231303212320 is 23212303132.

It can be written as a sum of positive squares in 4 ways, for example, as 87537873424 + 143765338896 = 295868^2 + 379164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 231303212291 and 231303212300.

It is not an unprimeable number, because it can be changed into a prime (231303212323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11137306 + ... + 11158054.

Almost surely, 2231303212320 is an apocalyptic number.

231303212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231303212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289872229500).

231303212320 is an abundant number, since it is smaller than the sum of its proper divisors (348441246680).

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

231303212320 is a wasteful number, since it uses less digits than its factorization.

231303212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20995 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 231303212320 its reverse (23212303132), we get a palindrome (254515515452).

The spelling of 231303212320 in words is "two hundred thirty-one billion, three hundred three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 193 304 361 380 386 608 722 760 772 965 1444 1520 1544 1805 1930 2888 3040 3088 3610 3667 3860 5776 6176 7220 7334 7720 11552 14440 14668 15440 18335 20749 28880 29336 30880 36670 41498 57760 58672 69673 73340 82996 103745 117344 139346 146680 165992 207490 278692 293360 331984 348365 394231 414980 557384 586720 663968 696730 788462 829960 1114768 1393460 1576924 1659920 1971155 2229536 2786920 3153848 3319840 3942310 4004557 5573840 6307696 7490389 7884620 8009114 11147680 12615392 14980778 15769240 16018228 20022785 29961556 31538480 32036456 37451945 40045570 59923112 63076960 64072912 74903890 76086583 80091140 119846224 128145824 149807780 152173166 160182280 239692448 299615560 304346332 320364560 380432915 599231120 608692664 640729120 760865830 1198462240 1217385328 1445645077 1521731660 2434770656 2891290154 3043463320 5782580308 6086926640 7228225385 11565160616 12173853280 14456450770 23130321232 28912901540 46260642464 57825803080 115651606160 231303212320