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10243120030 = 25111310170921
BaseRepresentation
bin10011000101000100…
…11001101110011110
3222102212020102002221
421202202121232132
5131434214320110
64412225335554
7511556040463
oct114242315636
928385212087
1010243120030
114386a79760
121b9a4975ba
13c73191490
146d256b66a
153ee3d37da
hex262899b9e

10243120030 has 64 divisors (see below), whose sum is σ = 21875749056. Its totient is φ = 3404160000.

The previous prime is 10243120021. The next prime is 10243120033. The reversal of 10243120030 is 3002134201.

It is a happy number.

10243120030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10243119986 and 10243120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108970 + ... + 179890.

It is an arithmetic number, because the mean of its divisors is an integer number (341808579).

Almost surely, 210243120030 is an apocalyptic number.

10243120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10243120030 is an abundant number, since it is smaller than the sum of its proper divisors (11632629026).

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

10243120030 is a wasteful number, since it uses less digits than its factorization.

10243120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71053.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10243120030 its reverse (3002134201), we get a palindrome (13245254231).

The spelling of 10243120030 in words is "ten billion, two hundred forty-three million, one hundred twenty thousand, thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 101 110 130 143 202 286 505 715 1010 1111 1313 1430 2222 2626 5555 6565 11110 13130 14443 28886 70921 72215 141842 144430 354605 709210 780131 921973 1560262 1843946 3900655 4609865 7163021 7801310 9219730 10141703 14326042 20283406 35815105 50708515 71630210 78793231 93119273 101417030 157586462 186238546 393966155 465596365 787932310 931192730 1024312003 2048624006 5121560015 10243120030