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1323003022002 = 234103358322129
BaseRepresentation
bin10011010000001001001…
…000000000101010110010
311200110220100121001020000
4103100021020000222302
5133134002233201002
62451440150130430
7164404151065434
oct23201110005262
94613810531200
101323003022002
1147009a796082
121944a7050a16
13979b29a3c6c
1448068622654
152463363061c
hex13409200ab2

1323003022002 has 80 divisors (see below), whose sum is σ = 2994259107840. Its totient is φ = 436577827968.

The previous prime is 1323003022001. The next prime is 1323003022007. The reversal of 1323003022002 is 2002203003231.

It is a happy number.

1323003022002 is a `hidden beast` number, since 132 + 30 + 0 + 302 + 200 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1323003022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59774874 + ... + 59797002.

It is an arithmetic number, because the mean of its divisors is an integer number (37428238848).

Almost surely, 21323003022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323003022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497129553920).

1323003022002 is an abundant number, since it is smaller than the sum of its proper divisors (1671256085838).

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

1323003022002 is a wasteful number, since it uses less digits than its factorization.

1323003022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25829 (or 25820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1323003022002 its reverse (2002203003231), we get a palindrome (3325206025233).

The spelling of 1323003022002 in words is "one trillion, three hundred twenty-three billion, three million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2781 3583 5562 7166 8343 10749 16686 21498 22129 32247 44258 64494 66387 96741 132774 193482 199161 290223 369049 398322 580446 597483 738098 1107147 1194966 1792449 2214294 2279287 3321441 3584898 4558574 6642882 6837861 9964323 13675722 19928646 20513583 29892969 41027166 59785938 61540749 79288207 123081498 158576414 184622247 237864621 369244494 475729242 713593863 1427187726 2140781589 4281563178 6422344767 8166685321 12844689534 16333370642 24500055963 49000111926 73500167889 147000335778 220500503667 441001007334 661501511001 1323003022002