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305141213130 = 2351310126632909
BaseRepresentation
bin1000111000010111101…
…01010110011111001010
31002011121211000201022020
410130023311112133022
514444412122310010
6352102511105310
731021453342035
oct4341365263712
91064554021266
10305141213130
11108456294876
124b17b212236
1322a0c000a60
1410aa9c8201c
157e0dc0b470
hex470bd567ca

305141213130 has 128 divisors (see below), whose sum is σ = 797054307840. Its totient is φ = 74314521600.

The previous prime is 305141213123. The next prime is 305141213149. The reversal of 305141213130 is 31312141503.

It is a super-2 number, since 2×3051412131302 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305141213130.

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, 104894116 + ... + 104897024.

It is an arithmetic number, because the mean of its divisors is an integer number (6226986780).

Almost surely, 2305141213130 is an apocalyptic number.

305141213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305141213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398527153920).

305141213130 is an abundant number, since it is smaller than the sum of its proper divisors (491913094710).

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

305141213130 is a wasteful number, since it uses less digits than its factorization.

305141213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 305141213130 its reverse (31312141503), we get a palindrome (336453354633).

The spelling of 305141213130 in words is "three hundred five billion, one hundred forty-one million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 2663 2909 3030 3939 5326 5818 6565 7878 7989 8727 13130 13315 14545 15978 17454 19695 26630 29090 34619 37817 39390 39945 43635 69238 75634 79890 87270 103857 113451 173095 189085 207714 226902 268963 293809 346190 378170 519285 537926 567255 587618 806889 881427 1038570 1134510 1344815 1469045 1613778 1762854 2689630 2938090 3496519 3819517 4034445 4407135 6993038 7639034 7746667 8068890 8814270 10489557 11458551 15493334 17482595 19097585 20979114 22917102 23240001 34965190 38195170 38733335 46480002 52447785 57292755 77466670 100706671 104895570 114585510 116200005 201413342 232400010 302120013 503533355 604240026 782413367 1007066710 1510600065 1564826734 2347240101 3021200130 3912066835 4694480202 7824133670 10171373771 11736200505 20342747542 23472401010 30514121313 50856868855 61028242626 101713737710 152570606565 305141213130