Search a number
-
+
231513311000 = 23538310127617
BaseRepresentation
bin1101011110011101000…
…1001100011100011000
3211010120120010202022002
43113213101030130120
512243114401423000
6254204501420132
722504054450166
oct3274721143430
9733516122262
10231513311000
118a203257184
1238a5140a648
1318aa708716a
14b2c34d6236
15604ed768d5
hex35e744c718

231513311000 has 128 divisors (see below), whose sum is σ = 553716596160. Its totient is φ = 90580480000.

The previous prime is 231513310999. The next prime is 231513311011. The reversal of 231513311000 is 113315132.

231513311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8369192 + ... + 8396808.

Almost surely, 2231513311000 is an apocalyptic number.

231513311000 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 231513311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276858298080).

231513311000 is an abundant number, since it is smaller than the sum of its proper divisors (322203285160).

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

231513311000 is a wasteful number, since it uses less digits than its factorization.

231513311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27822 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 231513311000 its reverse (113315132), we get a palindrome (231626626132).

The spelling of 231513311000 in words is "two hundred thirty-one billion, five hundred thirteen million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 101 125 166 200 202 250 332 404 415 500 505 664 808 830 1000 1010 1660 2020 2075 2525 3320 4040 4150 5050 8300 8383 10100 10375 12625 16600 16766 20200 20750 25250 27617 33532 41500 41915 50500 55234 67064 83000 83830 101000 110468 138085 167660 209575 220936 276170 335320 419150 552340 690425 838300 1047875 1104680 1380850 1676600 2095750 2292211 2761700 2789317 3452125 4191500 4584422 5523400 5578634 6904250 8383000 9168844 11157268 11461055 13808500 13946585 18337688 22314536 22922110 27617000 27893170 45844220 55786340 57305275 69732925 91688440 111572680 114610550 139465850 229221100 231513311 278931700 286526375 348664625 458442200 463026622 557863400 573052750 697329250 926053244 1146105500 1157566555 1394658500 1852106488 2292211000 2315133110 2789317000 4630266220 5787832775 9260532440 11575665550 23151331100 28939163875 46302662200 57878327750 115756655500 231513311000