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1031321320002 = 23329733898459
BaseRepresentation
bin11110000000111111000…
…10100111101001000010
310122121000120000100011000
433000133202213221002
5113344121224220002
62105441003032430
7134340050402541
oct17003742475102
93577016010130
101031321320002
11368420aa9226
12147a6350b716
137633a321a9c
1437cb8162158
151bc6139261c
hexf01f8a7a42

1031321320002 has 64 divisors (see below), whose sum is σ = 2374090704000. Its totient is φ = 331466313024.

The previous prime is 1031321319997. The next prime is 1031321320027. The reversal of 1031321320002 is 2000231231301.

1031321320002 is a `hidden beast` number, since 10 + 313 + 21 + 320 + 0 + 0 + 2 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698649 + ... + 1597107.

It is an arithmetic number, because the mean of its divisors is an integer number (37095167250).

Almost surely, 21031321320002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031321320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187045352000).

1031321320002 is an abundant number, since it is smaller than the sum of its proper divisors (1342769383998).

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

1031321320002 is a wasteful number, since it uses less digits than its factorization.

1031321320002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899232 (or 899226 counting only the distinct ones).

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

Adding to 1031321320002 its reverse (2000231231301), we get a palindrome (3031552551303).

The spelling of 1031321320002 in words is "one trillion, thirty-one billion, three hundred twenty-one million, three hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 733 783 1466 1566 2199 4398 6597 13194 19791 21257 39582 42514 63771 127542 191313 382626 573939 898459 1147878 1796918 2695377 5390754 8086131 16172262 24258393 26055311 48516786 52110622 78165933 156331866 234497799 468995598 658570447 703493397 1317140894 1406986794 1975711341 3951422682 5927134023 11854268046 17781402069 19098542963 35562804138 38197085926 57295628889 114591257778 171886886667 343773773334 515660660001 1031321320002