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101301310231 = 11231267110111
BaseRepresentation
bin101111001011000000…
…1110101001100010111
3100200110212021202021221
41132112001311030113
53124431113411411
6114312010351211
710214224633612
oct1362601651427
9320425252257
10101301310231
1139a63a48800
121777172b507
1397252b5bb4
144c8dc03179
15297d5d8071
hex1796075317

101301310231 has 24 divisors (see below), whose sum is σ = 114993987584. Its totient is φ = 89079210000.

The previous prime is 101301310223. The next prime is 101301310259. The reversal of 101301310231 is 132013103101.

It is not a de Polignac number, because 101301310231 - 23 = 101301310223 is a prime.

It is a super-2 number, since 2×1013013102312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301310211) 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 in 23 ways as a sum of consecutive naturals, for example, 10013866 + ... + 10023976.

Almost surely, 2101301310231 is an apocalyptic number.

101301310231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101301310231 is a deficient number, since it is larger than the sum of its proper divisors (13692677353).

101301310231 is a wasteful number, since it uses less digits than its factorization.

101301310231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835 (or 12824 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101301310231 its reverse (132013103101), we get a palindrome (233314413332).

The spelling of 101301310231 in words is "one hundred one billion, three hundred one million, three hundred ten thousand, two hundred thirty-one".

Divisors: 1 11 31 121 341 2671 3751 10111 29381 82801 111221 313441 323191 910811 1223431 3447851 10018921 27006481 37926361 297071291 837200911 3267784201 9209210021 101301310231