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5121167130 = 2325294345631
BaseRepresentation
bin1001100010011111…
…01100111100011010
3111012220101020121200
410301033230330122
540442004322010
62204100215030
7240623126262
oct46117547432
914186336550
105121167130
112198846732
12bab09a476
13637ca3b11
143682027a2
151ee8dccc0
hex1313ecf1a

5121167130 has 96 divisors (see below), whose sum is σ = 14094812160. Its totient is φ = 1287861120.

The previous prime is 5121167123. The next prime is 5121167153. The reversal of 5121167130 is 317611215.

5121167130 is a `hidden beast` number, since 512 + 1 + 16 + 7 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5121167094 and 5121167103.

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, 89415 + ... + 135045.

It is an arithmetic number, because the mean of its divisors is an integer number (146820960).

Almost surely, 25121167130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5121167130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047406080).

5121167130 is an abundant number, since it is smaller than the sum of its proper divisors (8973645030).

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

5121167130 is a wasteful number, since it uses less digits than its factorization.

5121167130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45716 (or 45713 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5121167130 is about 71562.3303840785. The cubic root of 5121167130 is about 1723.6787058963.

Adding to 5121167130 its reverse (317611215), we get a palindrome (5438778345).

It can be divided in two parts, 51211 and 67130, that added together give a triangular number (118341 = T486).

The spelling of 5121167130 in words is "five billion, one hundred twenty-one million, one hundred sixty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 43 45 58 86 87 90 129 145 174 215 258 261 290 387 430 435 522 645 774 870 1247 1290 1305 1935 2494 2610 3741 3870 6235 7482 11223 12470 18705 22446 37410 45631 56115 91262 112230 136893 228155 273786 410679 456310 684465 821358 1323299 1368930 1962133 2053395 2646598 3924266 3969897 4106790 5886399 6616495 7939794 9810665 11772798 11909691 13232990 17659197 19621330 19849485 23819382 29431995 35318394 39698970 56901857 58863990 59548455 88295985 113803714 119096910 170705571 176591970 284509285 341411142 512116713 569018570 853527855 1024233426 1707055710 2560583565 5121167130