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2313231033000 = 233535813132647
BaseRepresentation
bin100001101010010111010…
…100000110001010101000
322012010212001021222212110
4201222113110012022220
5300344444121024000
64530403401042320
7326061010232556
oct41522724061250
98163761258773
102313231033000
11812043680aa8
123143a04863a0
1313a1a1596194
147dd64cdabd6
154028c027850
hex21a975062a8

2313231033000 has 128 divisors (see below), whose sum is σ = 7218576817920. Its totient is φ = 616750841600.

The previous prime is 2313231032963. The next prime is 2313231033007. The reversal of 2313231033000 is 3301323132.

It is not an unprimeable number, because it can be changed into a prime (2313231033007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17372677 + ... + 17505323.

It is an arithmetic number, because the mean of its divisors is an integer number (56395131390).

Almost surely, 22313231033000 is an apocalyptic number.

2313231033000 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 2313231033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609288408960).

2313231033000 is an abundant number, since it is smaller than the sum of its proper divisors (4905345784920).

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

2313231033000 is a wasteful number, since it uses less digits than its factorization.

2313231033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138484 (or 138470 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2313231033000 its reverse (3301323132), we get a palindrome (2316532356132).

The spelling of 2313231033000 in words is "two trillion, three hundred thirteen billion, two hundred thirty-one million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5813 11626 17439 23252 29065 34878 46504 58130 69756 87195 116260 132647 139512 145325 174390 232520 265294 290650 348780 397941 435975 530588 581300 663235 697560 726625 795882 871950 1061176 1162600 1326470 1453250 1591764 1743900 1989705 2179875 2652940 2906500 3183528 3316175 3487800 3979410 4359750 5305880 5813000 6632350 7958820 8719500 9948525 13264700 15917640 16580875 17439000 19897050 26529400 33161750 39794100 49742625 66323500 79588200 99485250 132647000 198970500 397941000 771077011 1542154022 2313231033 3084308044 3855385055 4626462066 6168616088 7710770110 9252924132 11566155165 15421540220 18505848264 19276925275 23132310330 30843080440 38553850550 46264620660 57830775825 77107701100 92529241320 96384626375 115661551650 154215402200 192769252750 231323103300 289153879125 385538505500 462646206600 578307758250 771077011000 1156615516500 2313231033000