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1023012100123 = 13374409482387
BaseRepresentation
bin11101110001100000100…
…01011101100000011011
310121210120110202020022121
432320300101131200123
5113230112044200443
62101544255402111
7133624123242646
oct16706021354033
93553513666277
101023012100123
1136494772a362
12146324823337
1375614a03430
143772a7a4a5d
151b926b664ed
hexee3045d81b

1023012100123 has 16 divisors (see below), whose sum is σ = 1131740134560. Its totient is φ = 918586434816.

The previous prime is 1023012100111. The next prime is 1023012100127. The reversal of 1023012100123 is 3210012103201.

It is a cyclic number.

It is not a de Polignac number, because 1023012100123 - 25 = 1023012100091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023012100097 and 1023012100106.

It is not an unprimeable number, because it can be changed into a prime (1023012100127) 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 15 ways as a sum of consecutive naturals, for example, 1879536 + ... + 2361922.

It is an arithmetic number, because the mean of its divisors is an integer number (70733758410).

Almost surely, 21023012100123 is an apocalyptic number.

1023012100123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1023012100123 is a deficient number, since it is larger than the sum of its proper divisors (108728034437).

1023012100123 is a wasteful number, since it uses less digits than its factorization.

1023012100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486846.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1023012100123 its reverse (3210012103201), we get a palindrome (4233024203324).

The spelling of 1023012100123 in words is "one trillion, twenty-three billion, twelve million, one hundred thousand, one hundred twenty-three".

Divisors: 1 13 37 481 4409 57317 163133 482387 2120729 6271031 17848319 232028147 2126844283 27648975679 78693238471 1023012100123