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101304326123 = 72111343336223
BaseRepresentation
bin101111001011000110…
…1010101011111101011
3100200111001221222022122
41132112031111133223
53124432401413443
6114312155141455
710214262364400
oct1362615253753
9320431858278
10101304326123
1139a65718680
121777274488b
139725b00850
144c9038a2a7
15297d9d1968
hex17963557eb

101304326123 has 48 divisors (see below), whose sum is σ = 141665965056. Its totient is φ = 71171472960.

The previous prime is 101304326117. The next prime is 101304326147. The reversal of 101304326123 is 321623403101.

It is not a de Polignac number, because 101304326123 - 24 = 101304326107 is a prime.

It is a super-2 number, since 2×1013043261232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101304326092 and 101304326101.

It is not an unprimeable number, because it can be changed into a prime (101304376123) 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 47 ways as a sum of consecutive naturals, for example, 133190 + ... + 469412.

It is an arithmetic number, because the mean of its divisors is an integer number (2951374272).

Almost surely, 2101304326123 is an apocalyptic number.

101304326123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101304326123 is a deficient number, since it is larger than the sum of its proper divisors (40361638933).

101304326123 is a wasteful number, since it uses less digits than its factorization.

101304326123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336304 (or 336297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101304326123 its reverse (321623403101), we get a palindrome (422927729224).

The spelling of 101304326123 in words is "one hundred one billion, three hundred four million, three hundred twenty-six thousand, one hundred twenty-three".

Divisors: 1 7 11 13 43 49 77 91 143 301 473 539 559 637 1001 2107 3311 3913 6149 7007 23177 27391 43043 301301 336223 2353561 3698453 4370899 14457589 16474927 25889171 30596293 48079889 101203123 159033479 181224197 187948657 214174051 336559223 708421861 1113234353 1315640599 2067435227 2355914561 7792640471 9209484193 14472046589 101304326123