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231120213000 = 23353277278123
BaseRepresentation
bin1101011100111111010…
…1101001010000001000
3211002120011110022012220
43113033311221100020
512241313233304000
6254101500134040
722461242252655
oct3271765512010
9732504408186
10231120213000
118a0213758a6
1238961837320
1318a437c12b1
14b28720ac2c
15602a5c81a0
hex35cfd69408

231120213000 has 128 divisors (see below), whose sum is σ = 723700897920. Its totient is φ = 61409337600.

The previous prime is 231120212963. The next prime is 231120213007. The reversal of 231120213000 is 312021132.

231120213000 is digitally balanced in base 2 and base 3, because in such bases 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 (15).

It is not an unprimeable number, because it can be changed into a prime (231120213007) by changing a digit.

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, 691939 + ... + 970061.

It is an arithmetic number, because the mean of its divisors is an integer number (5653913265).

Almost surely, 2231120213000 is an apocalyptic number.

231120213000 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 231120213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361850448960).

231120213000 is an abundant number, since it is smaller than the sum of its proper divisors (492580684920).

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

231120213000 is a wasteful number, since it uses less digits than its factorization.

231120213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278424 (or 278410 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 231120213000 its reverse (312021132), we get a palindrome (231432234132).

The spelling of 231120213000 in words is "two hundred thirty-one billion, one hundred twenty million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 277 300 375 500 554 600 750 831 1000 1108 1385 1500 1662 2216 2770 3000 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 27700 33240 34625 41550 55400 69250 83100 103875 138500 166200 207750 277000 278123 415500 556246 831000 834369 1112492 1390615 1668738 2224984 2781230 3337476 4171845 5562460 6674952 6953075 8343690 11124920 13906150 16687380 20859225 27812300 33374760 34765375 41718450 55624600 69530750 77040071 83436900 104296125 139061500 154080142 166873800 208592250 231120213 278123000 308160284 385200355 417184500 462240426 616320568 770400710 834369000 924480852 1155601065 1540801420 1848961704 1926001775 2311202130 3081602840 3852003550 4622404260 5778005325 7704007100 9244808520 9630008875 11556010650 15408014200 19260017750 23112021300 28890026625 38520035500 46224042600 57780053250 77040071000 115560106500 231120213000