Search a number
-
+
1015040323530 = 232575726175693
BaseRepresentation
bin11101100010101010001…
…11100010111111001010
310121000222220110000122200
432301111013202333022
5113112300310323110
62054145244501030
7133222434251532
oct16612507427712
93530886400580
101015040323530
11361526889642
1214487ab4a776
137494429276c
14371b1b664c2
151b60bd936c0
hexec551e2fca

1015040323530 has 96 divisors (see below), whose sum is σ = 2644065247824. Its totient is φ = 270169095168.

The previous prime is 1015040323529. The next prime is 1015040323547. The reversal of 1015040323530 is 353230405101.

1015040323530 is a `hidden beast` number, since 10 + 1 + 50 + 40 + 32 + 3 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 597632586489 + 417407737041 = 773067^2 + 646071^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1015040323494 and 1015040323503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178293364 + ... + 178299056.

Almost surely, 21015040323530 is an apocalyptic number.

1015040323530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1015040323530 is an abundant number, since it is smaller than the sum of its proper divisors (1629024924294).

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

1015040323530 is a wasteful number, since it uses less digits than its factorization.

1015040323530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 1015040323530 its reverse (353230405101), we get a palindrome (1368270728631).

The spelling of 1015040323530 in words is "one trillion, fifteen billion, forty million, three hundred twenty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 757 1514 2271 2617 3785 4542 5234 5693 6813 7570 7851 11355 11386 13085 13626 15702 17079 22710 23553 26170 28465 34065 34158 39255 47106 51237 56930 68130 78510 85395 102474 117765 170790 235530 256185 512370 1981069 3962138 4309601 5943207 8619202 9905345 11886414 12928803 14898581 17829621 19810690 21548005 25857606 29716035 29797162 35659242 38786409 43096010 44695743 59432070 64644015 74492905 77572818 89148105 89391486 129288030 134087229 148985810 178296210 193932045 223478715 268174458 387864090 446957430 670436145 1340872290 11278225817 22556451634 33834677451 56391129085 67669354902 101504032353 112782258170 169173387255 203008064706 338346774510 507520161765 1015040323530