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1013015052 = 2233710113267
BaseRepresentation
bin111100011000010…
…110001000001100
32121121011111102000
4330120112020030
54033312440202
6244304232300
734050325440
oct7430261014
92547144360
101013015052
1147a903225
1224330b690
13131b461ba
1498778820
155de0291c
hex3c61620c

1013015052 has 96 divisors (see below), whose sum is σ = 3031472640. Its totient is φ = 286545600.

The previous prime is 1013015041. The next prime is 1013015093. The reversal of 1013015052 is 2505103101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69723 + ... + 82989.

It is an arithmetic number, because the mean of its divisors is an integer number (31577840).

Almost surely, 21013015052 is an apocalyptic number.

1013015052 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 1013015052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515736320).

1013015052 is an abundant number, since it is smaller than the sum of its proper divisors (2018457588).

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

1013015052 is a wasteful number, since it uses less digits than its factorization.

1013015052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13388 (or 13380 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1013015052 is about 31827.8973857841. The cubic root of 1013015052 is about 1004.3196642994.

Adding to 1013015052 its reverse (2505103101), we get a palindrome (3518118153).

The spelling of 1013015052 in words is "one billion, thirteen million, fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 606 707 756 909 1212 1414 1818 2121 2727 2828 3636 4242 5454 6363 8484 10908 12726 13267 19089 25452 26534 38178 39801 53068 76356 79602 92869 119403 159204 185738 238806 278607 358209 371476 477612 557214 716418 835821 1114428 1339967 1432836 1671642 2507463 2679934 3343284 4019901 5014926 5359868 8039802 9379769 10029852 12059703 16079604 18759538 24119406 28139307 36179109 37519076 48238812 56278614 72358218 84417921 112557228 144716436 168835842 253253763 337671684 506507526 1013015052