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82130317711002 = 2341146088842711
BaseRepresentation
bin10010101011001001110100…
…011010011001011010011010
3101202210120201001110111210000
4102223021310122121122122
541231110342313223002
6450402051434233430
723204501556646041
oct2253116432313232
9352716631414700
1082130317711002
11241952aa240030
1292654a5285876
1336a9b1805a492
14163d1b2bb3558
159765e85d661c
hex4ab27469969a

82130317711002 has 40 divisors (see below), whose sum is σ = 200762998853472. Its totient is φ = 24887975063400.

The previous prime is 82130317710979. The next prime is 82130317711019. The reversal of 82130317711002 is 20011771303128.

It is a happy number.

82130317711002 is a `hidden beast` number, since 82 + 1 + 303 + 177 + 1 + 100 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23044419574 + ... + 23044423137.

Almost surely, 282130317711002 is an apocalyptic number.

82130317711002 is an abundant number, since it is smaller than the sum of its proper divisors (118632681142470).

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

82130317711002 is a wasteful number, since it uses less digits than its factorization.

82130317711002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46088842736 (or 46088842727 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 82130317711002 in words is "eighty-two trillion, one hundred thirty billion, three hundred seventeen million, seven hundred eleven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 46088842711 92177685422 138266528133 276533056266 414799584399 506977269821 829599168798 1013954539642 1244398753197 1520931809463 2488797506394 3041863618926 3733196259591 4562795428389 7466392519182 9125590856778 13688386285167 27376772570334 41065158855501 82130317711002