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122314213443320 = 235171131591803923
BaseRepresentation
bin11011110011111001111111…
…001111100100011011111000
3121001002010100211122122102022
4123303321333033210123320
5112012444002120141240
61112050212434254012
734522624142661053
oct3363717717443370
9531063324578368
10122314213443320
1135a78191844668
1211875392727308
1353332473b1a22
14222c07a619a9a
15e21a17a379b5
hex6f3e7f3e46f8

122314213443320 has 64 divisors (see below), whose sum is σ = 293974348684320. Its totient is φ = 45640202051584.

The previous prime is 122314213443307. The next prime is 122314213443329. The reversal of 122314213443320 is 23344312413221.

It is a happy number.

122314213443320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122314213443329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795825122 + ... + 795978801.

Almost surely, 2122314213443320 is an apocalyptic number.

122314213443320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122314213443320 is an abundant number, since it is smaller than the sum of its proper divisors (171660135241000).

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

122314213443320 is a wasteful number, since it uses less digits than its factorization.

122314213443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591804064 (or 1591804060 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 122314213443320 its reverse (23344312413221), we get a palindrome (145658525856541).

The spelling of 122314213443320 in words is "one hundred twenty-two trillion, three hundred fourteen billion, two hundred thirteen million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 565 680 904 1130 1921 2260 3842 4520 7684 9605 15368 19210 38420 76840 1591803923 3183607846 6367215692 7959019615 12734431384 15918039230 27060666691 31836078460 54121333382 63672156920 108242666764 135303333455 179873843299 216485333528 270606666910 359747686598 541213333820 719495373196 899369216495 1082426667640 1438990746392 1798738432990 3057855336083 3597476865980 6115710672166 7194953731960 12231421344332 15289276680415 24462842688664 30578553360830 61157106721660 122314213443320