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101112251131 is a prime number
BaseRepresentation
bin101111000101011000…
…0101000001011111011
3100122222200112112222001
41132022300220023323
53124034214014011
6114241134241431
710206440645113
oct1361260501373
9318880475861
10101112251131
1139977258911
121771a356277
1396c508c7c8
144c72a6c043
15296bbe07c1
hex178ac282fb

101112251131 has 2 divisors, whose sum is σ = 101112251132. Its totient is φ = 101112251130.

The previous prime is 101112251111. The next prime is 101112251161. The reversal of 101112251131 is 131152211101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101112251131 - 27 = 101112251003 is a prime.

It is a super-2 number, since 2×1011122511312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112251099 and 101112251108.

It is not a weakly prime, because it can be changed into another prime (101112251111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556125565 + 50556125566.

It is an arithmetic number, because the mean of its divisors is an integer number (50556125566).

Almost surely, 2101112251131 is an apocalyptic number.

101112251131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112251131 is an equidigital number, since it uses as much as digits as its factorization.

101112251131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 101112251131 its reverse (131152211101), we get a palindrome (232264462232).

The spelling of 101112251131 in words is "one hundred one billion, one hundred twelve million, two hundred fifty-one thousand, one hundred thirty-one".