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10320022123123 = 61107109131110731
BaseRepresentation
bin1001011000101101000101…
…0000001011001001110011
31100112120210002022112001011
42112023101100023021303
52323040401130414443
633540541441451351
72113411524454516
oct226132120131163
940476702275034
1010320022123123
11331977349a809
1211a810a640b57
1359b23510965b
142796c5474d7d
1512d6aa28cb9d
hex962d140b273

10320022123123 has 32 divisors (see below), whose sum is σ = 10766020573440. Its totient is φ = 9887568912000.

The previous prime is 10320022123069. The next prime is 10320022123141. The reversal of 10320022123123 is 32132122002301.

It is a cyclic number.

It is not a de Polignac number, because 10320022123123 - 233 = 10311432188531 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10320022123094 and 10320022123103.

It is not an unprimeable number, because it can be changed into a prime (10320022123423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93143668 + ... + 93254398.

It is an arithmetic number, because the mean of its divisors is an integer number (336438142920).

Almost surely, 210320022123123 is an apocalyptic number.

10320022123123 is a deficient number, since it is larger than the sum of its proper divisors (445998450317).

10320022123123 is a wasteful number, since it uses less digits than its factorization.

10320022123123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111139.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10320022123123 its reverse (32132122002301), we get a palindrome (42452144125424).

The spelling of 10320022123123 in words is "ten trillion, three hundred twenty billion, twenty-two million, one hundred twenty-three thousand, one hundred twenty-three".

Divisors: 1 61 107 109 131 6527 6649 7991 11663 14017 14279 110731 711443 855037 871019 1527853 6754591 11848217 12069679 14505761 93199033 722741237 736250419 884851421 1291455653 1552116427 1581127949 78778794833 94679102047 96448804889 169180690543 10320022123123