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1010330442 = 233112816053
BaseRepresentation
bin111100001110000…
…110101101001010
32121102010002211000
4330032012231022
54032121033232
6244130515430
734015444542
oct7416065512
92542102730
101010330442
1147933a240
12242435b76
13131416284
149827a322
155da7227c
hex3c386b4a

1010330442 has 64 divisors (see below), whose sum is σ = 2458408320. Its totient is φ = 305020800.

The previous prime is 1010330429. The next prime is 1010330443. The reversal of 1010330442 is 2440330101.

1010330442 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 (1010330443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163888 + ... + 169940.

It is an arithmetic number, because the mean of its divisors is an integer number (38412630).

Almost surely, 21010330442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010330442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229204160).

1010330442 is an abundant number, since it is smaller than the sum of its proper divisors (1448077878).

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

1010330442 is a wasteful number, since it uses less digits than its factorization.

1010330442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1010330442 is about 31785.6955563348. The cubic root of 1010330442 is about 1003.4316906945.

Adding to 1010330442 its reverse (2440330101), we get a palindrome (3450660543).

The spelling of 1010330442 in words is "one billion, ten million, three hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 281 297 562 594 843 1686 2529 3091 5058 6053 6182 7587 9273 12106 15174 18159 18546 27819 36318 54477 55638 66583 83457 108954 133166 163431 166914 199749 326862 399498 599247 1198494 1700893 1797741 3401786 3595482 5102679 10205358 15308037 18709823 30616074 37419646 45924111 56129469 91848222 112258938 168388407 336776814 505165221 1010330442