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1101005052 = 223731563751
BaseRepresentation
bin100000110100000…
…0000000011111100
32211201201211222220
41001220000003330
54223324130202
6301130205340
736166250160
oct10150000374
92751654886
101101005052
11515541434
12268883850
131471432a4
14a6320ca0
15669d3abc
hex41a000fc

1101005052 has 96 divisors (see below), whose sum is σ = 3040149504. Its totient is φ = 303480000.

The previous prime is 1101005011. The next prime is 1101005057. The reversal of 1101005052 is 2505001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101005057) 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, 1465677 + ... + 1466427.

It is an arithmetic number, because the mean of its divisors is an integer number (31668224).

Almost surely, 21101005052 is an apocalyptic number.

1101005052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101005052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520074752).

1101005052 is an abundant number, since it is smaller than the sum of its proper divisors (1939144452).

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

1101005052 is a wasteful number, since it uses less digits than its factorization.

1101005052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1101005052 is about 33181.3961731570. The cubic root of 1101005052 is about 1032.5944122364.

Adding to 1101005052 its reverse (2505001011), we get a palindrome (3606006063).

The spelling of 1101005052 in words is "one billion, one hundred one million, five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 563 651 751 868 1126 1302 1502 1689 2252 2253 2604 3004 3378 3941 4506 5257 6756 7882 9012 10514 11823 15764 15771 17453 21028 23281 23646 31542 34906 46562 47292 52359 63084 69812 69843 93124 104718 122171 139686 162967 209436 244342 279372 325934 366513 422813 488684 488901 651868 733026 845626 977802 1268439 1466052 1691252 1955604 2536878 2959691 5073756 5919382 8879073 11838764 13107203 17758146 26214406 35516292 39321609 52428812 78643218 91750421 157286436 183500842 275251263 367001684 550502526 1101005052