Search a number
-
+
51512255130 = 23575913073181
BaseRepresentation
bin101111111110010111…
…101010001010011010
311220221222101200200010
4233332113222022122
51320444114131010
635355302222350
73502343641560
oct577627521232
9156858350603
1051512255130
111a934363786
129b974249b6
134b1c16314b
1426c9503a30
151517510620
hexbfe5ea29a

51512255130 has 128 divisors (see below), whose sum is σ = 143840655360. Its totient is φ = 11562174720.

The previous prime is 51512255129. The next prime is 51512255131. The reversal of 51512255130 is 3155221515.

It is an interprime number because it is at equal distance from previous prime (51512255129) and next prime (51512255131).

It is a super-2 number, since 2×515122551302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51512255131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16192140 + ... + 16195320.

It is an arithmetic number, because the mean of its divisors is an integer number (1123755120).

Almost surely, 251512255130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51512255130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71920327680).

51512255130 is an abundant number, since it is smaller than the sum of its proper divisors (92328400230).

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

51512255130 is a wasteful number, since it uses less digits than its factorization.

51512255130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564.

The product of its (nonzero) digits is 7500, while the sum is 30.

Adding to 51512255130 its reverse (3155221515), we get a palindrome (54667476645).

The spelling of 51512255130 in words is "fifty-one billion, five hundred twelve million, two hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1307 1770 2065 2478 2614 3181 3921 4130 6195 6362 6535 7842 9149 9543 12390 13070 15905 18298 19086 19605 22267 27447 31810 39210 44534 45745 47715 54894 66801 77113 91490 95430 111335 133602 137235 154226 187679 222670 231339 274470 334005 375358 385565 462678 539791 563037 668010 771130 938395 1079582 1126074 1156695 1313753 1619373 1876790 2313390 2627506 2698955 2815185 3238746 3941259 4157567 5397910 5630370 6568765 7882518 8096865 8315134 12472701 13137530 16193730 19706295 20787835 24945402 29102969 39412590 41575670 58205938 62363505 87308907 124727010 145514845 174617814 245296453 291029690 436544535 490592906 735889359 873089070 1226482265 1471778718 1717075171 2452964530 3434150342 3679446795 5151225513 7358893590 8585375855 10302451026 17170751710 25756127565 51512255130