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23103414412013 = 1315737333032321
BaseRepresentation
bin1010100000011001011101…
…10011110010001011101101
310000210122221200012020002202
411100030232303302023231
511012011243042141023
6121045321223231245
74603111101205325
oct520145663621355
9100718850166082
1023103414412013
1173a8115149121
12271171a8a8525
13cb7847b23cc0
1459c2d5854285
152a0e8d467128
hex15032ecf22ed

23103414412013 has 16 divisors (see below), whose sum is σ = 25045791049776. Its totient is φ = 21184709345280.

The previous prime is 23103414411997. The next prime is 23103414412019. The reversal of 23103414412013 is 31021441430132.

It can be written as a sum of positive squares in 8 ways, for example, as 5042979852964 + 18060434559049 = 2245658^2 + 4249757^2 .

It is not a de Polignac number, because 23103414412013 - 24 = 23103414411997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23103414412019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6102893 + ... + 9135213.

It is an arithmetic number, because the mean of its divisors is an integer number (1565361940611).

Almost surely, 223103414412013 is an apocalyptic number.

It is an amenable number.

23103414412013 is a deficient number, since it is larger than the sum of its proper divisors (1942376637763).

23103414412013 is a wasteful number, since it uses less digits than its factorization.

23103414412013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036224.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 23103414412013 its reverse (31021441430132), we get a palindrome (54124855842145).

The spelling of 23103414412013 in words is "twenty-three trillion, one hundred three billion, four hundred fourteen million, four hundred twelve thousand, thirteen".

Divisors: 1 13 157 2041 3733 48529 586081 3032321 7619053 39420173 476074397 6188967161 11319654293 147155505809 1777185724001 23103414412013