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231330211000 = 2353773452701
BaseRepresentation
bin1101011101110001011…
…0101110010010111000
3211010002210121022022121
43113130112232102320
512242231013223000
6254134401131024
722466402231020
oct3273426562270
9733083538277
10231330211000
118a119967469
1238a00029a74
1318a78169275
14b2a7072a80
15603dc59b1a
hex35dc5ae4b8

231330211000 has 128 divisors (see below), whose sum is σ = 627119026560. Its totient is φ = 78226560000.

The previous prime is 231330210989. The next prime is 231330211009. The reversal of 231330211000 is 112033132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231330211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284650 + ... + 737350.

It is an arithmetic number, because the mean of its divisors is an integer number (4899367395).

Almost surely, 2231330211000 is an apocalyptic number.

231330211000 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 231330211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313559513280).

231330211000 is an abundant number, since it is smaller than the sum of its proper divisors (395788815560).

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

231330211000 is a wasteful number, since it uses less digits than its factorization.

231330211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452802 (or 452788 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 231330211000 its reverse (112033132), we get a palindrome (231442244132).

The spelling of 231330211000 in words is "two hundred thirty-one billion, three hundred thirty million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 73 100 125 140 146 175 200 250 280 292 350 365 500 511 584 700 730 875 1000 1022 1400 1460 1750 1825 2044 2555 2920 3500 3650 4088 5110 7000 7300 9125 10220 12775 14600 18250 20440 25550 36500 51100 63875 73000 102200 127750 255500 452701 511000 905402 1810804 2263505 3168907 3621608 4527010 6337814 9054020 11317525 12675628 15844535 18108040 22635050 25351256 31689070 33047173 45270100 56587625 63378140 66094346 79222675 90540200 113175250 126756280 132188692 158445350 165235865 226350500 231330211 264377384 316890700 330471730 396113375 452701000 462660422 633781400 660943460 792226750 826179325 925320844 1156651055 1321886920 1584453500 1652358650 1850641688 2313302110 3168907000 3304717300 4130896625 4626604220 5783255275 6609434600 8261793250 9253208440 11566510550 16523586500 23133021100 28916276375 33047173000 46266042200 57832552750 115665105500 231330211000