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1011010338 = 2321316992543
BaseRepresentation
bin111100010000101…
…100101100100010
32121110101122110100
4330100230230202
54032304312323
6244153243230
734024306002
oct7420545442
92543348410
101011010338
11479764038
12242703516
131315c3890
14983b6002
155db58943
hex3c42cb22

1011010338 has 48 divisors (see below), whose sum is σ = 2361340800. Its totient is φ = 310774752.

The previous prime is 1011010337. The next prime is 1011010397. The reversal of 1011010338 is 8330101101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1011010338.

It is not an unprimeable number, because it can be changed into a prime (1011010337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396295 + ... + 398837.

It is an arithmetic number, because the mean of its divisors is an integer number (49194600).

Almost surely, 21011010338 is an apocalyptic number.

1011010338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1011010338 is an abundant number, since it is smaller than the sum of its proper divisors (1350330462).

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

1011010338 is a wasteful number, since it uses less digits than its factorization.

1011010338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1011010338 is about 31796.3887572158. The cubic root of 1011010338 is about 1003.6567247321.

Adding to 1011010338 its reverse (8330101101), we get a palindrome (9341111439).

The spelling of 1011010338 in words is "one billion, eleven million, ten thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1699 2543 3398 5086 5097 7629 10194 15258 15291 22087 22887 30582 33059 44174 45774 66118 66261 99177 132522 198354 198783 297531 397566 595062 4320557 8641114 12961671 25923342 38885013 56167241 77770026 112334482 168501723 337003446 505505169 1011010338