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130342242243031 = 713101439143322543
BaseRepresentation
bin11101101000101110101011…
…000011000101000111010111
3122002111121002222011121012121
4131220232223003011013113
5114041011403003234111
61141114222141000411
736311626161603460
oct3550565303050727
9562447088147177
10130342242243031
113859291a804985
1212751249253107
1357962b3b68470
1424288535c3d67
15101077a502871
hex768bab0c51d7

130342242243031 has 64 divisors (see below), whose sum is σ = 162499114229760. Its totient is φ = 101798662118400.

The previous prime is 130342242242963. The next prime is 130342242243113.

130342242243031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130342242243031 - 29 = 130342242242519 is a prime.

It is a super-2 number, since 2×1303422422430312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130342242243131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5781927346 + ... + 5781949888.

It is an arithmetic number, because the mean of its divisors is an integer number (2539048659840).

Almost surely, 2130342242243031 is an apocalyptic number.

130342242243031 is a deficient number, since it is larger than the sum of its proper divisors (32156871986729).

130342242243031 is a wasteful number, since it uses less digits than its factorization.

130342242243031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24536.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 130342242243031 in words is "one hundred thirty trillion, three hundred forty-two billion, two hundred forty-two million, two hundred forty-three thousand, thirty-one".

Divisors: 1 7 13 91 101 439 707 1313 1433 3073 5707 9191 10031 18629 22543 39949 44339 130403 144733 157801 293059 310373 576407 629087 1013131 1881529 2051413 2276843 4034849 4403609 8178131 9896377 13170703 15937901 29598959 32304119 57246917 63537787 69274639 128652901 207192713 226128833 419953547 444764509 825991231 900570307 999534077 2939674829 3262716019 5781938617 6996738539 12993943001 14181508241 22839012133 42415308247 90957601007 99270557687 184359607133 296907157729 1290517249931 1432332332341 10026326326387 18620320320433 130342242243031