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30132623103 = 31123797101229
BaseRepresentation
bin11100000100000010…
…110101011011111111
32212202222211212001220
4130010002311123333
5443202422414403
621502010404423
72114500033062
oct340402653377
985688755056
1030132623103
1111863097800
125a0b430713
132ac29bb7cb
14165bccc8d9
15bb55c4953
hex7040b56ff

30132623103 has 96 divisors (see below), whose sum is σ = 46478201280. Its totient is φ = 17335296000.

The previous prime is 30132623099. The next prime is 30132623149.

It is a happy number.

30132623103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30132623103 - 22 = 30132623099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132623803) 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 95 ways as a sum of consecutive naturals, for example, 131583393 + ... + 131583621.

It is an arithmetic number, because the mean of its divisors is an integer number (484147930).

Almost surely, 230132623103 is an apocalyptic number.

30132623103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30132623103 is a deficient number, since it is larger than the sum of its proper divisors (16345578177).

30132623103 is a wasteful number, since it uses less digits than its factorization.

30132623103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

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

The spelling of 30132623103 in words is "thirty billion, one hundred thirty-two million, six hundred twenty-three thousand, one hundred three".

Divisors: 1 3 11 33 37 97 101 111 121 229 291 303 363 407 687 1067 1111 1221 2519 3201 3333 3589 3737 4477 7557 8473 9797 10767 11211 11737 12221 13431 22213 23129 25419 27709 29391 35211 36663 39479 41107 66639 69387 83127 93203 107767 118437 123321 244343 254419 279609 323301 362489 434269 452177 733029 763257 821881 855773 1025233 1087467 1185437 1302807 1356531 2243513 2465643 2567319 2687773 2798609 3075699 3556311 3987379 6730539 8063319 8395827 9040691 9413503 11962137 24678643 27122073 28240509 43861169 74035929 83009981 99447601 103548533 131583507 249029943 271465073 298342803 310645599 814395219 913109791 2739329373 10044207701 30132623103