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2321021011122 = 23211103401283813
BaseRepresentation
bin100001110001100111101…
…000100000010010110010
322012212221221111212220200
4201301213220200102302
5301011422334323442
64534132355220030
7326455031035212
oct41614750402262
98185857455820
102321021011122
11815380940950
123159b52a7616
1313ab434534a8
14804a3734242
1540595d8934c
hex21c67a204b2

2321021011122 has 96 divisors (see below), whose sum is σ = 5553145593216. Its totient is φ = 694771776000.

The previous prime is 2321021011109. The next prime is 2321021011123. The reversal of 2321021011122 is 2211101201232.

2321021011122 is a `hidden beast` number, since 2 + 321 + 0 + 210 + 11 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2321021011095 and 2321021011104.

It is not an unprimeable number, because it can be changed into a prime (2321021011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8036088 + ... + 8319900.

It is an arithmetic number, because the mean of its divisors is an integer number (57845266596).

Almost surely, 22321021011122 is an apocalyptic number.

2321021011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321021011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776572796608).

2321021011122 is an abundant number, since it is smaller than the sum of its proper divisors (3232124582094).

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

2321021011122 is a wasteful number, since it uses less digits than its factorization.

2321021011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284336 (or 284333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2321021011122 its reverse (2211101201232), we get a palindrome (4532122212354).

The spelling of 2321021011122 in words is "two trillion, three hundred twenty-one billion, twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 401 618 802 927 1133 1203 1854 2266 2406 3399 3609 4411 6798 7218 8822 10197 13233 20394 26466 39699 41303 79398 82606 123909 247818 283813 371727 454333 567626 743454 851439 908666 1362999 1702878 2554317 2725998 3121943 4088997 5108634 6243886 8177994 9365829 18731658 28097487 29232739 56194974 58465478 87698217 113809013 175396434 227618026 263094651 321560129 341427039 526189302 643120258 682854078 964680387 1024281117 1251899143 1929360774 2048562234 2503798286 2894041161 3755697429 5788082322 7511394858 11267092287 11722328339 22534184574 23444656678 35166985017 70333970034 105500955051 128945611729 211001910102 257891223458 386836835187 773673670374 1160510505561 2321021011122