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1002300542331 = 31141740798627
BaseRepresentation
bin11101001010111011100…
…01001000110101111011
310112211010001022002021120
432211131301020311323
5112410202414323311
62044241151040323
7132261641016354
oct16453561106573
93484101262246
101002300542331
11357089587450
121423045100a3
1373693aa07aa
1436723bb6d2b
151b1136e3706
hexe95dc48d7b

1002300542331 has 16 divisors (see below), whose sum is σ = 1493450034048. Its totient is φ = 592638900800.

The previous prime is 1002300542303. The next prime is 1002300542333. The reversal of 1002300542331 is 1332450032001.

It is a cyclic number.

It is not a de Polignac number, because 1002300542331 - 29 = 1002300541819 is a prime.

It is a super-2 number, since 2×10023005423312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002300542333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 370397961 + ... + 370400666.

It is an arithmetic number, because the mean of its divisors is an integer number (93340627128).

Almost surely, 21002300542331 is an apocalyptic number.

1002300542331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002300542331 is a deficient number, since it is larger than the sum of its proper divisors (491149491717).

1002300542331 is a wasteful number, since it uses less digits than its factorization.

1002300542331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740798682.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 1002300542331 its reverse (1332450032001), we get a palindrome (2334750574332).

The spelling of 1002300542331 in words is "one trillion, two billion, three hundred million, five hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 41 123 451 1353 740798627 2222395881 8148784897 24446354691 30372743707 91118231121 334100180777 1002300542331