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1000131340304 = 2417107131262321
BaseRepresentation
bin11101000110111000111…
…10010010100000010000
310112121111212120012111202
432203130132102200100
5112341232110342204
62043242021330332
7132154121061245
oct16433436224020
93477455505452
101000131340304
113561760828a8
121419b9b669a8
13734095633b5
1436599a755cc
151b03805be1e
hexe8dc792810

1000131340304 has 80 divisors (see below), whose sum is σ = 2086731637056. Its totient is φ = 462690508800.

The previous prime is 1000131340289. The next prime is 1000131340333. The reversal of 1000131340304 is 4030431310001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3681464 + ... + 3943784.

Almost surely, 21000131340304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000131340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043365818528).

1000131340304 is an abundant number, since it is smaller than the sum of its proper divisors (1086600296752).

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

1000131340304 is a wasteful number, since it uses less digits than its factorization.

1000131340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262584 (or 262578 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1000131340304 its reverse (4030431310001), we get a palindrome (5030562650305).

The spelling of 1000131340304 in words is "one trillion, one hundred thirty-one million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 107 131 136 214 262 272 428 524 856 1048 1712 1819 2096 2227 3638 4454 7276 8908 14017 14552 17816 28034 29104 35632 56068 112136 224272 238289 262321 476578 524642 953156 1049284 1906312 2098568 3812624 4197136 4459457 8918914 17837828 28068347 34364051 35675656 56136694 68728102 71351312 112273388 137456204 224546776 274912408 449093552 477161899 549824816 584188867 954323798 1168377734 1908647596 2336755468 3676953457 3817295192 4673510936 7353906914 7634590384 9347021872 14707813828 29415627656 58831255312 62508208769 125016417538 250032835076 500065670152 1000131340304