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130023053314101 = 34191932811557823
BaseRepresentation
bin11101100100000101011001…
…111001111100100000110101
3122001101002020010212222120000
4131210011121321330200311
5114020244203122022401
61140311433250301513
736246566320510653
oct3544053171744065
9561332203788500
10130023053314101
113847a5159a1332
12126bb409587899
1357721766c004c
142417213ba7dd3
1510072e83da186
hex764159e7c835

130023053314101 has 80 divisors (see below), whose sum is σ = 206245553648640. Its totient is φ = 81403552419840.

The previous prime is 130023053314097. The next prime is 130023053314123. The reversal of 130023053314101 is 101413350320031.

130023053314101 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 23 + 0 + 533 + 1 + 4 + 101 = 666.

It is not a de Polignac number, because 130023053314101 - 22 = 130023053314097 is a prime.

It is a super-3 number, since 3×1300230533141013 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130023053314001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82685676 + ... + 84243498.

It is an arithmetic number, because the mean of its divisors is an integer number (2578069420608).

Almost surely, 2130023053314101 is an apocalyptic number.

It is an amenable number.

130023053314101 is a deficient number, since it is larger than the sum of its proper divisors (76222500334539).

130023053314101 is a wasteful number, since it uses less digits than its factorization.

130023053314101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558328 (or 1558319 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 130023053314101 in words is "one hundred thirty trillion, twenty-three billion, fifty-three million, three hundred fourteen thousand, one hundred one".

Divisors: 1 3 9 19 27 57 81 171 193 281 513 579 843 1539 1737 2529 3667 5211 5339 7587 11001 15633 16017 22761 33003 48051 54233 99009 144153 162699 297027 432459 488097 1030427 1464291 1557823 3091281 4392873 4673469 9273843 14020407 27821529 29598637 42061221 83464587 88795911 126183663 266387733 300659839 437748263 799163199 901979517 1313244789 2397489597 2705938551 3939734367 5712536941 8117815653 8317216997 11819203101 17137610823 24353446959 24951650991 35457609303 51412832469 74854952973 84485414759 154238497407 224564858919 253456244277 462715492221 673694576757 760368732831 1605222880421 2281106198493 4815668641263 6843318595479 14447005923789 43341017771367 130023053314101