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430312121213034 = 23293728832045833
BaseRepresentation
bin110000111010111011101100…
…1001000001010000001101010
32002102121102210121002022202010
41201311313121020022001222
5422400213211012304114
64123110354235020350
7156432011340013554
oct14165673110120152
92072542717068663
10430312121213034
11115124389235785
124031945689a6b6
1315615349ab04b8
1478393098a84d4
1534b36147cbc59
hex1875dd920a06a

430312121213034 has 96 divisors (see below), whose sum is σ = 916050160509120. Its totient is φ = 134595581879808.

The previous prime is 430312121213011. The next prime is 430312121213041.

430312121213034 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4303121212130342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430312121212992 and 430312121213010.

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, 209312982 + ... + 211358814.

It is an arithmetic number, because the mean of its divisors is an integer number (9542189171970).

Almost surely, 2430312121213034 is an apocalyptic number.

430312121213034 is an abundant number, since it is smaller than the sum of its proper divisors (485738039296086).

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

430312121213034 is a wasteful number, since it uses less digits than its factorization.

430312121213034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046824 (or 2046787 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 430312121213034 in words is "four hundred thirty trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 883 1073 1369 1766 2146 2649 2738 3219 4107 5298 6438 8214 25607 32671 39701 51214 65342 76821 79402 98013 119103 153642 196026 238206 947459 1208827 1894918 2045833 2417654 2842377 3626481 4091666 5684754 6137499 7252962 12274998 35055983 59329157 70111966 75695821 105167949 118658314 151391642 177987471 210335898 227087463 355974942 454174926 1806470539 2195178809 2800745377 3612941078 4390357618 5419411617 5601490754 6585536427 8402236131 10838823234 13171072854 16804472262 52387645631 66839409943 81221615933 104775291262 133678819886 157162936893 162443231866 200518229829 243664847799 314325873786 401036459658 487329695598 1938342888347 2473058167891 3876685776694 4946116335782 5815028665041 7419174503673 11630057330082 14838349007346 71718686868839 143437373737678 215156060606517 430312121213034