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103344430329 = 32717611581859
BaseRepresentation
bin110000000111111001…
…1101101110011111001
3100212202020210000011200
41200033303231303321
53143122133232304
6115250433444413
710315654110150
oct1401763556371
9325666700150
10103344430329
113a912267108
1218041a10709
13998c679cba
1450052c4597
152a4cb66e39
hex180fcedcf9

103344430329 has 48 divisors (see below), whose sum is σ = 183596999040. Its totient is φ = 54669012480.

The previous prime is 103344430237. The next prime is 103344430333. The reversal of 103344430329 is 923034443301.

103344430329 is a `hidden beast` number, since 1 + 0 + 3 + 344 + 4 + 303 + 2 + 9 = 666.

It is not a de Polignac number, because 103344430329 - 216 = 103344364793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103344430293 and 103344430302.

It is not an unprimeable number, because it can be changed into a prime (103344430339) 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, 725599 + ... + 856260.

It is an arithmetic number, because the mean of its divisors is an integer number (3824937480).

Almost surely, 2103344430329 is an apocalyptic number.

It is an amenable number.

103344430329 is a deficient number, since it is larger than the sum of its proper divisors (80252568711).

103344430329 is a wasteful number, since it uses less digits than its factorization.

103344430329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581950 (or 1581947 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 103344430329 in words is "one hundred three billion, three hundred forty-four million, four hundred thirty thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 17 21 51 61 63 119 153 183 357 427 549 1037 1071 1281 3111 3843 7259 9333 21777 65331 1581859 4745577 11073013 14236731 26891603 33219039 80674809 96493399 99657117 188241221 242024427 289480197 564723663 675453793 868440591 1640387783 1694170989 2026361379 4921163349 6079084137 11482714481 14763490047 34448143443 103344430329