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1005333424130 = 25789421138321
BaseRepresentation
bin11101010000100101000…
…10101010100000000010
310120002221102012102222002
432220102202222200002
5112432410324033010
62045502132144002
7132430046052350
oct16502242524002
93502842172862
101005333424130
113583a5566432
12142a10168002
1373a582288c9
14369308dc7d0
151b23ead01a5
hexea128aa802

1005333424130 has 64 divisors (see below), whose sum is σ = 2091902941440. Its totient is φ = 340723046400.

The previous prime is 1005333424129. The next prime is 1005333424133. The reversal of 1005333424130 is 314243335001.

It is a junction number, because it is equal to n+sod(n) for n = 1005333424093 and 1005333424102.

It is not an unprimeable number, because it can be changed into a prime (1005333424133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26215370 + ... + 26253690.

It is an arithmetic number, because the mean of its divisors is an integer number (32685983460).

Almost surely, 21005333424130 is an apocalyptic number.

1005333424130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005333424130 is an abundant number, since it is smaller than the sum of its proper divisors (1086569517310).

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

1005333424130 is a wasteful number, since it uses less digits than its factorization.

1005333424130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42635.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 1005333424130 its reverse (314243335001), we get a palindrome (1319576759131).

The spelling of 1005333424130 in words is "one trillion, five billion, three hundred thirty-three million, four hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 89 178 445 623 890 1246 3115 4211 6230 8422 21055 29477 38321 42110 58954 76642 147385 191605 268247 294770 374779 383210 536494 749558 1341235 1873895 2623453 2682470 3410569 3747790 5246906 6821138 13117265 17052845 23873983 26234530 34105690 47747966 119369915 161369731 238739830 322739462 806848655 1129588117 1613697310 2259176234 5647940585 11295881170 14361906059 28723812118 71809530295 100533342413 143619060590 201066684826 502666712065 1005333424130