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231313210002 = 2357101673201
BaseRepresentation
bin1101011101101101010…
…1110111101010010010
3211010001121121120100000
43113123111313222102
512242212140210002
6254132552510430
722466104562310
oct3273325675222
9733047546300
10231313210002
118a110305356
12389b63ab416
1318a74795bc4
14b2a4ac90b0
15603c4ec61c
hex35db577a92

231313210002 has 96 divisors (see below), whose sum is σ = 599871452544. Its totient is φ = 65435040000.

The previous prime is 231313209989. The next prime is 231313210019. The reversal of 231313210002 is 200012313132.

It is a super-3 number, since 3×2313132100023 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7002 + ... + 680202.

It is an arithmetic number, because the mean of its divisors is an integer number (6248660964).

Almost surely, 2231313210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231313210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299935726272).

231313210002 is an abundant number, since it is smaller than the sum of its proper divisors (368558242542).

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

231313210002 is a wasteful number, since it uses less digits than its factorization.

231313210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673326 (or 673314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231313210002 its reverse (200012313132), we get a palindrome (431325523134).

The spelling of 231313210002 in words is "two hundred thirty-one billion, three hundred thirteen million, two hundred ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 243 303 378 486 567 606 707 909 1134 1414 1701 1818 2121 2727 3402 4242 5454 6363 8181 12726 16362 19089 24543 38178 49086 57267 114534 171801 343602 673201 1346402 2019603 4039206 4712407 6058809 9424814 12117618 14137221 18176427 28274442 36352854 42411663 54529281 67993301 84823326 109058562 127234989 135986602 163587843 203979903 254469978 327175686 381704967 407959806 475953107 611939709 763409934 951906214 1145114901 1223879418 1427859321 1835819127 2290229802 2855718642 3671638254 4283577963 5507457381 8567155926 11014914762 12850733889 16522372143 25701467778 33044744286 38552201667 77104403334 115656605001 231313210002