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103310313221 = 1932698772269
BaseRepresentation
bin110000000110111000…
…1100100011100000101
3100212122212120200022002
41200031301210130011
53143034420010341
6115243214315045
710315061113313
oct1401561443405
9325585520262
10103310313221
113a8a4a84455
12180324b8a85
13998559306b
1450009630b3
152a49b7829b
hex180dc64705

103310313221 has 16 divisors (see below), whose sum is σ = 104396482800. Its totient is φ = 102231134208.

The previous prime is 103310313187. The next prime is 103310313263. The reversal of 103310313221 is 122313013301.

It can be written as a sum of positive squares in 8 ways, for example, as 23597260996 + 79713052225 = 153614^2 + 282335^2 .

It is a cyclic number.

It is not a de Polignac number, because 103310313221 - 218 = 103310051077 is a prime.

It is a super-2 number, since 2×1033103132212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103310313193 and 103310313202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103310313121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45530075 + ... + 45532343.

It is an arithmetic number, because the mean of its divisors is an integer number (6524780175).

Almost surely, 2103310313221 is an apocalyptic number.

It is an amenable number.

103310313221 is a deficient number, since it is larger than the sum of its proper divisors (1086169579).

103310313221 is a wasteful number, since it uses less digits than its factorization.

103310313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103310313221 its reverse (122313013301), we get a palindrome (225623326522).

The spelling of 103310313221 in words is "one hundred three billion, three hundred ten million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 193 269 877 2269 51917 169261 235913 437917 610361 1989913 45531209 117799673 384053209 535286597 103310313221