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130301442101142 = 232132371933672599
BaseRepresentation
bin11101101000001000101011…
…001010111000111110010110
3122002100200210112111122101100
4131220020223022320332112
5114034324323134214032
61141043353420210530
736305653130245464
oct3550105312707626
9562320715448340
10130301442101142
1138577593129454
1212745361399a46
1357924b10b3580
1424268a2a51834
15100e68d66697c
hex76822b2b8f96

130301442101142 has 96 divisors (see below), whose sum is σ = 317696940288000. Its totient is φ = 38296249776576.

The previous prime is 130301442101141. The next prime is 130301442101179. The reversal of 130301442101142 is 241101244103031.

It is a happy number.

130301442101142 is a `hidden beast` number, since 1 + 3 + 0 + 301 + 4 + 4 + 210 + 1 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301442101141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12966642 + ... + 20705957.

It is an arithmetic number, because the mean of its divisors is an integer number (3309343128000).

Almost surely, 2130301442101142 is an apocalyptic number.

130301442101142 is an abundant number, since it is smaller than the sum of its proper divisors (187395498186858).

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

130301442101142 is a wasteful number, since it uses less digits than its factorization.

130301442101142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33673362 (or 33673359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130301442101142 its reverse (241101244103031), we get a palindrome (371402686204173).

The spelling of 130301442101142 in words is "one hundred thirty trillion, three hundred one billion, four hundred forty-two million, one hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 719 897 1438 1794 2157 2691 4314 5382 6471 9347 12942 16537 18694 28041 33074 49611 56082 84123 99222 148833 168246 214981 297666 429962 644943 1289886 1934829 3869658 33672599 67345198 101017797 202035594 303053391 437743787 606106782 774469777 875487574 1313231361 1548939554 2323409331 2626462722 3939694083 4646818662 6970227993 7879388166 10068107101 13940455986 20136214202 24210598681 30204321303 48421197362 60408642606 72631796043 90612963909 145263592086 181225927818 217895388129 314737782853 435790776258 556843769663 629475565706 944213348559 1113687539326 1670531308989 1888426697118 2832640045677 3341062617978 5011593926967 5665280091354 7238969005619 10023187853934 14477938011238 21716907016857 43433814033714 65150721050571 130301442101142