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12403110042 = 2332310219781
BaseRepresentation
bin10111000110100100…
…00111000010011010
31012000101122021101000
423203102013002122
5200400144010132
65410425405430
7616234460451
oct134322070232
935011567330
1012403110042
115295261174
1224a1939876
13122882488b
14859391b98
154c8d4a87c
hex2e348709a

12403110042 has 64 divisors (see below), whose sum is σ = 28791947520. Its totient is φ = 3950337600.

The previous prime is 12403110023. The next prime is 12403110077. The reversal of 12403110042 is 24001130421.

It is a super-2 number, since 2×124031100422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12403109997 and 12403110024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263192 + ... + 1272972.

It is an arithmetic number, because the mean of its divisors is an integer number (449874180).

Almost surely, 212403110042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12403110042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395973760).

12403110042 is an abundant number, since it is smaller than the sum of its proper divisors (16388837478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12403110042 is a wasteful number, since it uses less digits than its factorization.

12403110042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12403110042 its reverse (24001130421), we get a palindrome (36404240463).

The spelling of 12403110042 in words is "twelve billion, four hundred three million, one hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1021 1242 2042 3063 6126 9189 9781 18378 19562 23483 27567 29343 46966 55134 58686 70449 88029 140898 176058 211347 224963 264087 422694 449926 528174 634041 674889 1268082 1349778 2024667 4049334 6074001 9986401 12148002 19972802 29959203 59918406 89877609 179755218 229687223 269632827 459374446 539265654 689061669 1378123338 2067185007 4134370014 6201555021 12403110042