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82320246246121 = 13311733133772343
BaseRepresentation
bin10010101101111010101101…
…000010010000101011101001
3101210110201221111111202202121
4102231322231002100223221
541242213331014333441
6451025222110031241
723224304304603502
oct2255725502205351
9353421844452677
1082320246246121
1124258902a15634
12929626baa8521
1336c19c5929980
14164846d44bba9
1597b512782dd1
hex4adead090ae9

82320246246121 has 32 divisors (see below), whose sum is σ = 92335392479232. Its totient is φ = 72878025991680.

The previous prime is 82320246246089. The next prime is 82320246246137. The reversal of 82320246246121 is 12164264202328.

It is not a de Polignac number, because 82320246246121 - 25 = 82320246246089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82320246246521) 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, 19935876 + ... + 23708218.

It is an arithmetic number, because the mean of its divisors is an integer number (2885481014976).

Almost surely, 282320246246121 is an apocalyptic number.

It is an amenable number.

82320246246121 is a deficient number, since it is larger than the sum of its proper divisors (10015146233111).

82320246246121 is a wasteful number, since it uses less digits than its factorization.

82320246246121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772873.

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 82320246246121 in words is "eighty-two trillion, three hundred twenty billion, two hundred forty-six million, two hundred forty-six thousand, one hundred twenty-one".

Divisors: 1 13 31 173 313 403 2249 4069 5363 9703 54149 69719 126139 703937 1678619 3772343 21822047 49040459 116942633 652615339 1180743359 1520254229 8483999407 15349663667 20231075509 36603044129 204268601107 263003981617 475839573677 2655491814391 6332326634317 82320246246121