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130023301330 = 251317618910837
BaseRepresentation
bin111100100010111111…
…1100010000011010010
3110102121112210002001001
41321011333202003102
54112241431120310
6135422030332214
712252045553156
oct1710577420322
9412545702031
10130023301330
115016284482a
122124865a06a
13c3519727c0
146416613066
1535aee1793a
hex1e45fe20d2

130023301330 has 128 divisors (see below), whose sum is σ = 274319317440. Its totient is φ = 43940413440.

The previous prime is 130023301301. The next prime is 130023301349. The reversal of 130023301330 is 33103320031.

It can be written as a sum of positive squares in 32 ways, for example, as 59004782281 + 71018519049 = 242909^2 + 266493^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130023301298 and 130023301307.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11992672 + ... + 12003508.

Almost surely, 2130023301330 is an apocalyptic number.

130023301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130023301330 is an abundant number, since it is smaller than the sum of its proper divisors (144296016110).

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

130023301330 is a wasteful number, since it uses less digits than its factorization.

130023301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11024.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 130023301330 its reverse (33103320031), we get a palindrome (163126621361).

The spelling of 130023301330 in words is "one hundred thirty billion, twenty-three million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 61 65 85 89 122 130 170 178 221 305 442 445 610 793 890 1037 1105 1157 1513 1586 2074 2210 2314 3026 3965 5185 5429 5785 7565 7930 10370 10837 10858 11570 13481 15130 19669 21674 26962 27145 39338 54185 54290 67405 70577 92293 98345 108370 134810 140881 141154 184229 184586 196690 281762 352885 368458 461465 661057 704405 705770 921145 922930 964493 1199809 1322114 1408810 1842290 1928986 2394977 2399618 3305285 4789954 4822465 5999045 6610570 8593741 9644930 11237969 11974885 11998090 12538409 16396381 17187482 22475938 23949770 25076818 32792762 42968705 56189845 58834073 62692045 81981905 85937410 112379690 117668146 125384090 146093597 163963810 213152953 292187194 294170365 426305906 588340730 730467985 764842949 1000179241 1065764765 1460935970 1529685898 2000358482 2131529530 3824214745 5000896205 7648429490 10001792410 13002330133 26004660266 65011650665 130023301330