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34002001334231 = 7172312423091463
BaseRepresentation
bin1111011101100101101010…
…01101100000111111010111
311110101120002221020202212022
413232302311031200333113
513424042044320143411
6200152145340443355
710106364201432110
oct756626515407727
9143346087222768
1034002001334231
11a91a193360757
12399199554955b
1315c84b4a5b408
148579c4411207
153de70b80bedb
hex1eecb5360fd7

34002001334231 has 16 divisors (see below), whose sum is σ = 42934204099584. Its totient is φ = 26237569167744.

The previous prime is 34002001334219. The next prime is 34002001334239. The reversal of 34002001334231 is 13243310020043.

It is a de Polignac number, because none of the positive numbers 2k-34002001334231 is a prime.

It is a super-2 number, since 2×340020013342312 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34002001334231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002001334239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6211542995 + ... + 6211548468.

It is an arithmetic number, because the mean of its divisors is an integer number (2683387756224).

Almost surely, 234002001334231 is an apocalyptic number.

34002001334231 is a deficient number, since it is larger than the sum of its proper divisors (8932202765353).

34002001334231 is a wasteful number, since it uses less digits than its factorization.

34002001334231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12423091510.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34002001334231 its reverse (13243310020043), we get a palindrome (47245311354274).

The spelling of 34002001334231 in words is "thirty-four trillion, two billion, one million, three hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 7 17 23 119 161 391 2737 12423091463 86961640241 211192554871 285731103649 1478347884097 2000117725543 4857428762033 34002001334231