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1010033442 = 233114167619
BaseRepresentation
bin111100001100111…
…110001100100010
32121101120000102000
4330030332030202
54032032032232
6244120304430
734013066625
oct7414761442
92541500360
101010033442
11479157090
12242312116
13131341032
14981dddbc
155da1427c
hex3c33e322

1010033442 has 128 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 293673600.

The previous prime is 1010033441. The next prime is 1010033447. The reversal of 1010033442 is 2443300101.

1010033442 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 (1010033441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1631409 + ... + 1632027.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 21010033442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010033442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

1010033442 is an abundant number, since it is smaller than the sum of its proper divisors (1539803358).

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

1010033442 is a wasteful number, since it uses less digits than its factorization.

1010033442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

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

The square root of 1010033442 is about 31781.0233000764. The cubic root of 1010033442 is about 1003.3333570515. Note that the first 4 decimals are identical.

Adding to 1010033442 its reverse (2443300101), we get a palindrome (3453333543).

The spelling of 1010033442 in words is "one billion, ten million, thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 67 82 99 123 134 198 201 246 297 369 402 451 594 603 619 737 738 902 1107 1206 1238 1353 1474 1809 1857 2211 2214 2706 2747 3618 3714 4059 4422 5494 5571 6633 6809 8118 8241 11142 12177 13266 13618 16482 16713 19899 20427 24354 24723 25379 30217 33426 39798 40854 41473 49446 50758 60434 61281 74169 76137 82946 90651 122562 124419 148338 152274 181302 183843 228411 248838 271953 279169 367686 373257 456203 456822 543906 558338 685233 746514 815859 837507 912406 1119771 1368609 1370466 1631718 1675014 1700393 2239542 2512521 2737218 3400786 4105827 5025042 5101179 7537563 8211654 10202358 12317481 15075126 15303537 18704323 24634962 30607074 37408646 45910611 56112969 91821222 112225938 168338907 336677814 505016721 1010033442