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1010511205130 = 257192997270097
BaseRepresentation
bin11101011010001110010…
…10010101001100001010
310120121022021002222012202
432231013022111030022
5113024011332031010
62052120014040202
7133002260343650
oct16550712251412
93517267088182
101010511205130
1135a61225a989
12143a161a9062
13743a1b6234b
1436ca243add0
151b4444526a5
hexeb4729530a

1010511205130 has 128 divisors (see below), whose sum is σ = 2286973785600. Its totient is φ = 313639796736.

The previous prime is 1010511205063. The next prime is 1010511205157. The reversal of 1010511205130 is 315021150101.

It is a happy number.

It is a super-2 number, since 2×10105112051302 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3606242 + ... + 3876338.

It is an arithmetic number, because the mean of its divisors is an integer number (17866982700).

Almost surely, 21010511205130 is an apocalyptic number.

1010511205130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010511205130 is an abundant number, since it is smaller than the sum of its proper divisors (1276462580470).

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

1010511205130 is a wasteful number, since it uses less digits than its factorization.

1010511205130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270256.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 1010511205130 its reverse (315021150101), we get a palindrome (1325532355231).

The spelling of 1010511205130 in words is "one trillion, ten billion, five hundred eleven million, two hundred five thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 29 35 38 58 70 95 97 133 145 190 194 203 266 290 406 485 551 665 679 970 1015 1102 1330 1358 1843 2030 2755 2813 3395 3686 3857 5510 5626 6790 7714 9215 12901 14065 18430 19285 19691 25802 28130 38570 39382 53447 64505 98455 106894 129010 196910 267235 270097 374129 534470 540194 748258 1350485 1870645 1890679 2700970 3741290 3781358 5131843 7832813 9453395 10263686 15665626 18906790 25659215 26199409 35922901 39164065 51318430 52398818 54829691 71845802 78328130 109659382 130997045 148823447 179614505 183395863 261994090 274148455 297646894 359229010 366791726 497788771 548296910 744117235 759782861 916979315 995577542 1041764129 1488234470 1519565722 1833958630 2083528258 2488943855 3484521397 3798914305 4977887710 5208820645 5318480027 6969042794 7597828610 10417641290 10636960054 14435874359 17422606985 26592400135 28871748718 34845213970 53184800270 72179371795 101051120513 144358743590 202102241026 505255602565 1010511205130