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82127015421 = 31129570115053
BaseRepresentation
bin100110001111100100…
…1101100110111111101
321211222120110122121220
41030133021230313331
52321144003443141
6101421214543553
75635120053513
oct1143711546775
9254876418556
1082127015421
1131914617270
1213b00207bb9
13798a9c1319
143d914584b3
15220a0c0766
hex131f26cdfd

82127015421 has 32 divisors (see below), whose sum is σ = 123606587520. Its totient is φ = 48045984000.

The previous prime is 82127015407. The next prime is 82127015431. The reversal of 82127015421 is 12451072128.

It is not a de Polignac number, because 82127015421 - 227 = 81992797693 is a prime.

It is a super-2 number, since 2×821270154212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82127015431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5448331 + ... + 5463383.

It is an arithmetic number, because the mean of its divisors is an integer number (3862705860).

Almost surely, 282127015421 is an apocalyptic number.

It is an amenable number.

82127015421 is a deficient number, since it is larger than the sum of its proper divisors (41479572099).

82127015421 is a wasteful number, since it uses less digits than its factorization.

82127015421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20797.

The product of its (nonzero) digits is 8960, while the sum is 33.

Adding to 82127015421 its reverse (12451072128), we get a palindrome (94578087549).

The spelling of 82127015421 in words is "eighty-two billion, one hundred twenty-seven million, fifteen thousand, four hundred twenty-one".

Divisors: 1 3 11 29 33 87 319 957 5701 15053 17103 45159 62711 165329 165583 188133 436537 495987 496749 1309611 1818619 4801907 5455857 14405721 85817153 257451459 943988683 2488697437 2831966049 7466092311 27375671807 82127015421