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1320323203122 = 2371130731329741
BaseRepresentation
bin10011001101101001011…
…001010100000000110010
311200012222121001010210220
4103031221121110000302
5133113010214444442
62450314220233510
7164250561024420
oct23155131240062
94605877033726
101320323203122
11469a45033530
12193a7969b896
1397676735211
1447c92764110
1524528234eec
hex13369654032

1320323203122 has 128 divisors (see below), whose sum is σ = 3313622366208. Its totient is φ = 340720473600.

The previous prime is 1320323203109. The next prime is 1320323203127. The reversal of 1320323203122 is 2213023230231.

It is a junction number, because it is equal to n+sod(n) for n = 1320323203092 and 1320323203101.

It is not an unprimeable number, because it can be changed into a prime (1320323203127) 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 63 ways as a sum of consecutive naturals, for example, 44379172 + ... + 44408912.

It is an arithmetic number, because the mean of its divisors is an integer number (25887674736).

Almost surely, 21320323203122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320323203122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656811183104).

1320323203122 is an abundant number, since it is smaller than the sum of its proper divisors (1993299163086).

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

1320323203122 is a wasteful number, since it uses less digits than its factorization.

1320323203122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30384.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1320323203122 its reverse (2213023230231), we get a palindrome (3533346433353).

The spelling of 1320323203122 in words is "one trillion, three hundred twenty billion, three hundred twenty-three million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 307 313 462 614 626 921 939 1842 1878 2149 2191 3377 3443 4298 4382 6447 6573 6754 6886 10131 10329 12894 13146 20262 20658 23639 24101 29741 47278 48202 59482 70917 72303 89223 96091 141834 144606 178446 192182 208187 288273 327151 416374 576546 624561 654302 672637 981453 1057001 1249122 1345274 1962906 2017911 2114002 2290057 3171003 4035822 4580114 6342006 6870171 7399007 9130487 9308933 13740342 14798014 18260974 18617866 22197021 27391461 27926799 44394042 54782922 55853598 63913409 65162531 100435357 102398263 127826818 130325062 191740227 195487593 200870714 204796526 301306071 307194789 383480454 390975186 602612142 614389578 703047499 716787841 1406094998 1433575682 2109142497 2150363523 2857842431 4218284994 4300727046 5715684862 8573527293 17147054586 20004897017 31436266741 40009794034 60014691051 62872533482 94308800223 120029382102 188617600446 220053867187 440107734374 660161601561 1320323203122