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231322001000 = 23531414916349
BaseRepresentation
bin1101011101101111011…
…1011001111001101000
3211010002020011012022112
43113123313121321220
512242221413013000
6254133505141452
722466242365116
oct3273367317150
9733066135275
10231322001000
118a11526a142
12389b932a888
1318a7655338c
14b2a5d36ab6
15603d187235
hex35dbdd9e68

231322001000 has 64 divisors (see below), whose sum is σ = 541364850000. Its totient is φ = 92516601600.

The previous prime is 231322000997. The next prime is 231322001047. The reversal of 231322001000 is 100223132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15229040836 + 216092960164 = 123406^2 + 464858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14140826 + ... + 14157174.

Almost surely, 2231322001000 is an apocalyptic number.

231322001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231322001000 is an abundant number, since it is smaller than the sum of its proper divisors (310042849000).

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

231322001000 is a wasteful number, since it uses less digits than its factorization.

231322001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30519 (or 30505 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 231322001000 its reverse (100223132), we get a palindrome (231422224132).

The spelling of 231322001000 in words is "two hundred thirty-one billion, three hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 14149 16349 28298 32698 56596 65396 70745 81745 113192 130792 141490 163490 282980 326980 353725 408725 565960 653960 707450 817450 1414900 1634900 1768625 2043625 2829800 3269800 3537250 4087250 7074500 8174500 14149000 16349000 231322001 462644002 925288004 1156610005 1850576008 2313220010 4626440020 5783050025 9252880040 11566100050 23132200100 28915250125 46264400200 57830500250 115661000500 231322001000