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1024102242 = 232196434657
BaseRepresentation
bin111101000010101…
…000111101100010
32122101000210011200
4331002220331202
54044132232432
6245342022030
734243503552
oct7502507542
92571023150
101024102242
11486096199
12246b77916
13134228877
149a023162
155ed92a7c
hex3d0a8f62

1024102242 has 48 divisors (see below), whose sum is σ = 2339806560. Its totient is φ = 322828416.

The previous prime is 1024102241. The next prime is 1024102249. The reversal of 1024102242 is 2422014201.

1024102242 is a `hidden beast` number, since 10 + 2 + 410 + 2 + 242 = 666.

1024102242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1024102241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217578 + ... + 222234.

It is an arithmetic number, because the mean of its divisors is an integer number (48745970).

Almost surely, 21024102242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024102242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169903280).

1024102242 is an abundant number, since it is smaller than the sum of its proper divisors (1315704318).

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

1024102242 is a wasteful number, since it uses less digits than its factorization.

1024102242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1024102242 is about 32001.5974913753. The cubic root of 1024102242 is about 1007.9703848536.

Adding to 1024102242 its reverse (2422014201), we get a palindrome (3446116443).

The spelling of 1024102242 in words is "one billion, twenty-four million, one hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 643 1286 1929 3858 4657 5787 9314 11574 12217 13971 24434 27942 36651 41913 73302 83826 88483 109953 176966 219906 265449 530898 796347 1592694 2994451 5988902 8983353 17966706 26950059 53900118 56894569 113789138 170683707 341367414 512051121 1024102242