Search a number
-
+
515010231561030 = 2351714095849122533
BaseRepresentation
bin111010100011001100010100…
…1111010000110101101000110
32111112111111102112102011210220
41311012120221322012231012
51020000411423234423110
65023200233441125210
7213323155433163342
oct16506305172065506
92445444375364726
10515010231561030
1113a109681477607
1249918524629806
131914a34455859a
1491268b1b30622
153e818e8411370
hex1d46629e86b46

515010231561030 has 128 divisors (see below), whose sum is σ = 1309895321904000. Its totient is φ = 129142595518464.

The previous prime is 515010231560989. The next prime is 515010231561073. The reversal of 515010231561030 is 30165132010515.

It is a super-3 number, since 3×5150102315610303 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 515010231560982 and 515010231561000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4202971644 + ... + 4203094176.

It is an arithmetic number, because the mean of its divisors is an integer number (10233557202375).

Almost surely, 2515010231561030 is an apocalyptic number.

515010231561030 is an abundant number, since it is smaller than the sum of its proper divisors (794885090342970).

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

515010231561030 is a wasteful number, since it uses less digits than its factorization.

515010231561030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129818.

The product of its (nonzero) digits is 13500, while the sum is 33.

Adding to 515010231561030 its reverse (30165132010515), we get a palindrome (545175363571545).

The spelling of 515010231561030 in words is "five hundred fifteen trillion, ten billion, two hundred thirty-one million, five hundred sixty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1409 2818 4227 5849 7045 8454 11698 14090 17547 21135 23953 29245 35094 42270 47906 58490 71859 87735 99433 119765 122533 143718 175470 198866 239530 245066 298299 359295 367599 497165 596598 612665 718590 735198 994330 1225330 1491495 1837995 2083061 2982990 3675990 4166122 6249183 8241241 10415305 12498366 16482482 20830610 24723723 31245915 41206205 49447446 62491830 82412410 123618615 140101097 172648997 247237230 280202194 345297994 420303291 517946991 700505485 716695517 840606582 863244985 1035893982 1401010970 1433391034 1726489970 2101516455 2150086551 2589734955 2935032949 3583477585 4203032910 4300173102 5179469910 5870065898 7166955170 8805098847 10750432755 12183823789 14675164745 17610197694 21500865510 24367647578 29350329490 36551471367 44025494235 60919118945 73102942734 88050988470 121838237890 182757356835 365514713670 1009823983453 2019647966906 3029471950359 5049119917265 6058943900718 10098239834530 15147359751795 17167007718701 30294719503590 34334015437402 51501023156103 85835038593505 103002046312206 171670077187010 257505115780515 515010231561030