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2322012322120 = 235273129097307
BaseRepresentation
bin100001110010100010101…
…110000011100101001000
322012222112000211200221211
4201302202232003211020
5301020440123301440
64534415010342504
7326521426036561
oct41624256034510
98188460750854
102322012322120
1181583a46a537
1231603128aa34
1313ac7093a74a
148055925d168
1540602e00eea
hex21ca2b83948

2322012322120 has 64 divisors (see below), whose sum is σ = 5228952926400. Its totient is φ = 928018640640.

The previous prime is 2322012322117. The next prime is 2322012322163. The reversal of 2322012322120 is 212232102232.

It is a super-2 number, since 2×23220123221202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2322012322091 and 2322012322100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 317775507 + ... + 317782813.

It is an arithmetic number, because the mean of its divisors is an integer number (81702389475).

Almost surely, 22322012322120 is an apocalyptic number.

2322012322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322012322120 is an abundant number, since it is smaller than the sum of its proper divisors (2906940604280).

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

2322012322120 is a wasteful number, since it uses less digits than its factorization.

2322012322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12958 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2322012322120 its reverse (212232102232), we get a palindrome (2534244424352).

The spelling of 2322012322120 in words is "two trillion, three hundred twenty-two billion, twelve million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2731 2909 5462 5818 7307 10924 11636 13655 14545 14614 21848 23272 27310 29090 29228 36535 54620 58180 58456 73070 109240 116360 146140 292280 7944479 15888958 19955417 21256063 31777916 39722395 39910834 42512126 63555832 79444790 79821668 85024252 99777085 106280315 158889580 159643336 170048504 199554170 212560630 317779160 399108340 425121260 798216680 850242520 58050308053 116100616106 232201232212 290251540265 464402464424 580503080530 1161006161060 2322012322120