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30321341102430 = 232578926076141
BaseRepresentation
bin1101110010011101111001…
…10000111111100101011110
310222100200200101200010011100
412321032330300333211132
512433241101310234210
6144253233134133530
76246434045605230
oct671167460774536
9128320611603140
1030321341102430
119730232638494
12349858b9512a6
1313bc3a0742001
1476b7bc954250
15378adad125c0
hex1b93bcc3f95e

30321341102430 has 144 divisors (see below), whose sum is σ = 91121422508064. Its totient is φ = 6852719301120.

The previous prime is 30321341102413. The next prime is 30321341102447. The reversal of 30321341102430 is 3420114312303.

It is a happy number.

30321341102430 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 1 + 3 + 411 + 0 + 243 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30321341102413) and next prime (30321341102447).

It is a junction number, because it is equal to n+sod(n) for n = 30321341102394 and 30321341102403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1952160 + ... + 8028300.

It is an arithmetic number, because the mean of its divisors is an integer number (632787656306).

Almost surely, 230321341102430 is an apocalyptic number.

30321341102430 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 30321341102430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45560711254032).

30321341102430 is an abundant number, since it is smaller than the sum of its proper divisors (60800081405634).

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

30321341102430 is a wasteful number, since it uses less digits than its factorization.

30321341102430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076339 (or 6076247 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30321341102430 its reverse (3420114312303), we get a palindrome (33741455414733).

The spelling of 30321341102430 in words is "thirty trillion, three hundred twenty-one billion, three hundred forty-one million, one hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 89 90 105 126 178 210 267 315 445 534 623 630 801 890 1246 1335 1602 1869 2670 3115 3738 4005 5607 6230 7921 8010 9345 11214 15842 18690 23763 28035 39605 47526 55447 56070 71289 79210 110894 118815 142578 166341 237630 277235 332682 356445 499023 554470 712890 831705 998046 1663410 2495115 4990230 6076141 12152282 18228423 30380705 36456846 42532987 54685269 60761410 85065974 91142115 109370538 127598961 182284230 212664935 255197922 273426345 382796883 425329870 540776549 546852690 637994805 765593766 1081553098 1275989610 1622329647 1913984415 2703882745 3244659294 3785435843 3827968830 4866988941 5407765490 7570871686 8111648235 9733977882 11356307529 16223296470 18927179215 22712615058 24334944705 34068922587 37854358430 48129112861 48669889410 56781537645 68137845174 96258225722 113563075290 144387338583 170344612935 240645564305 288774677166 336903790027 340689225870 433162015749 481291128610 673807580054 721936692915 866324031498 1010711370081 1443873385830 1684518950135 2021422740162 2165810078745 3032134110243 3369037900270 4331620157490 5053556850405 6064268220486 10107113700810 15160670551215 30321341102430