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83130108082263 = 32113723977946513
BaseRepresentation
bin10010111001101100111100…
…100011111111100001010111
3101220100011100011102200200200
4102321230330203333201113
541344000430132113023
6452445235555511543
723336644400615424
oct2271547443774127
9356304304380620
1083130108082263
112454030a8a6830
1293a7208bb85b3
13375019ba7a138
14167573944cd4b
15992611740743
hex4b9b3c8ff857

83130108082263 has 48 divisors (see below), whose sum is σ = 134538999238176. Its totient is φ = 49018114897920.

The previous prime is 83130108082247. The next prime is 83130108082267. The reversal of 83130108082263 is 36228080103138.

83130108082263 is a `hidden beast` number, since 8 + 3 + 1 + 301 + 0 + 8 + 0 + 82 + 263 = 666.

It is not a de Polignac number, because 83130108082263 - 24 = 83130108082247 is a prime.

It is a super-2 number, since 2×831301080822632 (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 (83130108082267) 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, 87354495 + ... + 88301007.

It is an arithmetic number, because the mean of its divisors is an integer number (2802895817462).

Almost surely, 283130108082263 is an apocalyptic number.

83130108082263 is a deficient number, since it is larger than the sum of its proper divisors (51408891155913).

83130108082263 is a wasteful number, since it uses less digits than its factorization.

83130108082263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970544 (or 970541 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83130108082263 in words is "eighty-three trillion, one hundred thirty billion, one hundred eight million, eighty-two thousand, two hundred sixty-three".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 23977 71931 215793 263747 791241 887149 946513 2373723 2661447 2839539 7984341 8518617 9758639 10411643 29275917 31234929 35020981 87827751 93704787 105062943 315188829 385230791 1155692373 3467077119 22694542201 68083626603 204250879809 249639964211 748919892633 839698061437 2246759677899 2519094184311 7557282552933 9236678675807 27710036027421 83130108082263