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103113323223 = 3312414320287
BaseRepresentation
bin110000000001000001…
…0000111001011010111
3100212011010220112211020
41200002002013023113
53142134002320343
6115211500212223
710310146533411
oct1400202071327
9325133815736
10103113323223
113a8038679a9
1217b9853a073
139953820b31
144dc27259b1
152a37715b83
hex18020872d7

103113323223 has 48 divisors (see below), whose sum is σ = 148919113728. Its totient is φ = 63389692800.

The previous prime is 103113323207. The next prime is 103113323227. The reversal of 103113323223 is 322323311301.

It is not a de Polignac number, because 103113323223 - 24 = 103113323207 is a prime.

It is a super-2 number, since 2×1031133232232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103113323193 and 103113323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103113323227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5072586 + ... + 5092872.

It is an arithmetic number, because the mean of its divisors is an integer number (3102481536).

Almost surely, 2103113323223 is an apocalyptic number.

103113323223 is a deficient number, since it is larger than the sum of its proper divisors (45805790505).

103113323223 is a wasteful number, since it uses less digits than its factorization.

103113323223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20436 (or 20405 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103113323223 its reverse (322323311301), we get a palindrome (425436634524).

The spelling of 103113323223 in words is "one hundred three billion, one hundred thirteen million, three hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 31 41 43 93 123 129 961 1271 1333 1763 2883 3813 3999 5289 20287 39401 41323 54653 60861 118203 123969 163959 628897 831767 872341 1694243 1886691 2495301 2617023 5082729 19495807 25784777 27042571 35765981 58487421 77354331 81127713 107297943 799328087 838319701 1108745411 2397984261 2514959103 3326236233 34371107741 103113323223