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110000013123 = 37211135232863
BaseRepresentation
bin110011001110010000…
…0101111111101000011
3101111221002102122101010
41212130200233331003
53300240000404443
6122311110012003
710642621453500
oct1463440577503
9344832378333
10110000013123
1142718159a60
121939a947003
13a4b0502b80
1454771c84a7
152cdc0eb733
hex199c82ff43

110000013123 has 48 divisors (see below), whose sum is σ = 200439622656. Its totient is φ = 52747248960.

The previous prime is 110000013121. The next prime is 110000013133. The reversal of 110000013123 is 321310000011.

It is not a de Polignac number, because 110000013123 - 21 = 110000013121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110000013099 and 110000013108.

It is not an unprimeable number, because it can be changed into a prime (110000013121) 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, 2595411 + ... + 2637452.

It is an arithmetic number, because the mean of its divisors is an integer number (4175825472).

Almost surely, 2110000013123 is an apocalyptic number.

110000013123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

110000013123 is a deficient number, since it is larger than the sum of its proper divisors (90439609533).

110000013123 is a wasteful number, since it uses less digits than its factorization.

110000013123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232904 (or 5232897 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110000013123 its reverse (321310000011), we get a palindrome (431310013134).

The spelling of 110000013123 in words is "one hundred ten billion, thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 5232863 15698589 36630041 57561493 68027219 109890123 172684479 204081657 256410287 402930451 476190533 748299409 769230861 1208791353 1428571599 2244898227 2820513157 3333333731 5238095863 8461539471 10000001193 15714287589 36666671041 110000013123