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101131363 is a prime number
BaseRepresentation
bin1100000011100…
…10010001100011
321001022000011001
412001302101203
5201342200423
614011332431
72335413424
oct601622143
9231260131
10101131363
11520a4543
1229a51117
1317c4b758
14d60764b
158d29cad
hex6072463

101131363 has 2 divisors, whose sum is σ = 101131364. Its totient is φ = 101131362.

The previous prime is 101131339. The next prime is 101131403. The reversal of 101131363 is 363131101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101131363 - 29 = 101130851 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101131363.

It is not a weakly prime, because it can be changed into another prime (101131463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565681 + 50565682.

It is an arithmetic number, because the mean of its divisors is an integer number (50565682).

Almost surely, 2101131363 is an apocalyptic number.

101131363 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131363 is an equidigital number, since it uses as much as digits as its factorization.

101131363 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 101131363 is about 10056.4090509486. The cubic root of 101131363 is about 465.9027638856.

Adding to 101131363 its reverse (363131101), we get a palindrome (464262464).

It can be divided in two parts, 10113 and 1363, that added together give a triangular number (11476 = T151).

The spelling of 101131363 in words is "one hundred one million, one hundred thirty-one thousand, three hundred sixty-three".