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30131012312001 = 34658375650133
BaseRepresentation
bin1101101100111011011000…
…10010010001101111000001
310221200111102001110210010000
412312131230102101233001
512422131303122441001
6144025555043430213
76226615400563416
oct666355422215701
9127614361423100
1030131012312001
119667543a33177
123467713085369
1313a745ac71c63
147624c508a10d
15373b9b951a86
hex1b676c491bc1

30131012312001 has 20 divisors (see below), whose sum is σ = 45011216197332. Its totient is φ = 20087032879008.

The previous prime is 30131012311991. The next prime is 30131012312077. The reversal of 30131012312001 is 10021321013103.

30131012312001 is a `hidden beast` number, since 30 + 1 + 310 + 12 + 312 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20351782577025 + 9779229734976 = 4511295^2 + 3127176^2 .

It is not a de Polignac number, because 30131012312001 - 25 = 30131012311969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30131012312101) 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 19 ways as a sum of consecutive naturals, for example, 2507731 + ... + 8157863.

Almost surely, 230131012312001 is an apocalyptic number.

It is an amenable number.

30131012312001 is a deficient number, since it is larger than the sum of its proper divisors (14880203885331).

30131012312001 is an equidigital number, since it uses as much as digits as its factorization.

30131012312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715982 (or 5715973 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30131012312001 its reverse (10021321013103), we get a palindrome (40152333325104).

The spelling of 30131012312001 in words is "thirty trillion, one hundred thirty-one billion, twelve million, three hundred twelve thousand, one".

Divisors: 1 3 9 27 81 65837 197511 592533 1777599 5332797 5650133 16950399 50851197 152553591 457660773 371987806321 1115963418963 3347890256889 10043670770667 30131012312001