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322112044041041 = 107109173222171879
BaseRepresentation
bin100100100111101011000110…
…1111101101000001101010001
31120020111121111011212222000202
41021033112031331220031101
5314204440431233303131
63101024121420024545
7124563553505610602
oct11117261575501521
91506447434788022
10322112044041041
11936a8a50465771
123016357b992155
1310a9705ca74147
14597843dda7da9
152738d17e7bbcb
hex124f58df68351

322112044041041 has 32 divisors (see below), whose sum is σ = 330154949203200. Its totient is φ = 314200611912960.

The previous prime is 322112044040981. The next prime is 322112044041083. The reversal of 322112044041041 is 140140440211223.

It is a cyclic number.

It is not a de Polignac number, because 322112044041041 - 218 = 322112043778897 is a prime.

It is a super-3 number, since 3×3221120440410413 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 322112044040995 and 322112044041013.

It is not an unprimeable number, because it can be changed into a prime (322112044041091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4481273540 + ... + 4481345418.

It is an arithmetic number, because the mean of its divisors is an integer number (10317342162600).

Almost surely, 2322112044041041 is an apocalyptic number.

It is an amenable number.

322112044041041 is a deficient number, since it is larger than the sum of its proper divisors (8042905162159).

322112044041041 is a wasteful number, since it uses less digits than its factorization.

322112044041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74489.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 322112044041041 its reverse (140140440211223), we get a palindrome (462252484252264).

The spelling of 322112044041041 in words is "three hundred twenty-two trillion, one hundred twelve billion, forty-four million, forty-one thousand, forty-one".

Divisors: 1 107 109 173 2221 11663 18511 18857 71879 237647 242089 384233 2017699 7691053 7834811 12435067 25903523 41112931 41881397 159643259 838324777 1330552169 1355422303 4481309479 17081828713 17401115231 27618283807 145030186421 1861919329717 2955156367349 3010392934963 322112044041041