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1023134424130 = 257213179448097
BaseRepresentation
bin11101110001101111001…
…00000101110001000010
310121210212222220221022101
432320313210011301002
5113230334403033010
62102004345301014
7133630140053500
oct16706744056102
93553788827271
101023134424130
113649aa789185
1214635979476a
13756341620c0
143773cb27670
151b93277a73a
hexee37905c42

1023134424130 has 96 divisors (see below), whose sum is σ = 2442824634096. Its totient is φ = 304757784576.

The previous prime is 1023134424119. The next prime is 1023134424133. The reversal of 1023134424130 is 314244313201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 253670373649 + 769464050481 = 503657^2 + 877191^2 .

It is not an unprimeable number, because it can be changed into a prime (1023134424133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4615759 + ... + 4832338.

Almost surely, 21023134424130 is an apocalyptic number.

1023134424130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023134424130 is an abundant number, since it is smaller than the sum of its proper divisors (1419690209966).

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

1023134424130 is a wasteful number, since it uses less digits than its factorization.

1023134424130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448148 (or 9448141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1023134424130 its reverse (314244313201), we get a palindrome (1337378737331).

The spelling of 1023134424130 in words is "one trillion, twenty-three billion, one hundred thirty-four million, four hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 49 65 70 85 91 98 119 130 170 182 221 238 245 442 455 490 595 637 833 910 1105 1190 1274 1547 1666 2210 3094 3185 4165 6370 7735 8330 10829 15470 21658 54145 108290 9448097 18896194 47240485 66136679 94480970 122825261 132273358 160617649 245650522 321235298 330683395 462956753 614126305 661366790 803088245 859776827 925913506 1124323543 1228252610 1606176490 1719553654 2088029437 2248647086 2314783765 4176058874 4298884135 4629567530 5621617715 6018437789 7870264801 8597768270 10440147185 11243235430 12036875578 14616206059 15740529602 20880294370 29232412118 30092188945 39351324005 60184377890 73081030295 78702648010 102313442413 146162060590 204626884826 511567212065 1023134424130