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1362131246101 = 29295315905873
BaseRepresentation
bin10011110100100101010…
…110010101110000010101
311211012220021020210000011
4103310211112111300111
5134304121044333401
62521430543520221
7200260611361513
oct23644526256025
94735807223004
101362131246101
11485749639a6a
1219bba6bb9071
139b5aa2626a2
1449cdb0dd4b3
1525673813451
hex13d25595c15

1362131246101 has 8 divisors (see below), whose sum is σ = 1409578553880. Its totient is φ = 1314715756032.

The previous prime is 1362131246083. The next prime is 1362131246129. The reversal of 1362131246101 is 1016421312631.

It can be written as a sum of positive squares in 4 ways, for example, as 439868727076 + 922262519025 = 663226^2 + 960345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1362131246101 - 29 = 1362131245589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362131246171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7867300 + ... + 8038573.

It is an arithmetic number, because the mean of its divisors is an integer number (176197319235).

Almost surely, 21362131246101 is an apocalyptic number.

It is an amenable number.

1362131246101 is a deficient number, since it is larger than the sum of its proper divisors (47447307779).

1362131246101 is a wasteful number, since it uses less digits than its factorization.

1362131246101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15908855.

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 1362131246101 its reverse (1016421312631), we get a palindrome (2378552558732).

The spelling of 1362131246101 in words is "one trillion, three hundred sixty-two billion, one hundred thirty-one million, two hundred forty-six thousand, one hundred one".

Divisors: 1 29 2953 85637 15905873 461270317 46970042969 1362131246101