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82263493101 = 341892974903
BaseRepresentation
bin100110010011101001…
…0010100100111101101
321212100002021102210210
41030213102110213231
52321433423234401
6101442532053033
75641365103566
oct1144722244755
9255302242723
1082263493101
1131984662a39
1213b39a64179
1379b006734a
143da562316d
15221707d4d6
hex13274949ed

82263493101 has 16 divisors (see below), whose sum is σ = 112373976960. Its totient is φ = 53498004480.

The previous prime is 82263493063. The next prime is 82263493129. The reversal of 82263493101 is 10139436228.

It is not a de Polignac number, because 82263493101 - 27 = 82263492973 is a prime.

It is a super-3 number, since 3×822634931013 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82263493101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82263493171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1060816 + ... + 1135718.

It is an arithmetic number, because the mean of its divisors is an integer number (7023373560).

Almost surely, 282263493101 is an apocalyptic number.

It is an amenable number.

82263493101 is a deficient number, since it is larger than the sum of its proper divisors (30110483859).

82263493101 is a wasteful number, since it uses less digits than its factorization.

82263493101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83876.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 82263493101 in words is "eighty-two billion, two hundred sixty-three million, four hundred ninety-three thousand, one hundred one".

Divisors: 1 3 41 123 8929 26787 74903 224709 366089 1098267 3071023 9213069 668808887 2006426661 27421164367 82263493101