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10123410121 = 1117196194603
BaseRepresentation
bin10010110110110011…
…01111101011001001
3222010111222111222121
421123121233223021
5131213043110441
64352311451241
7505603365136
oct113331575311
928114874877
1010123410121
114325445950
121b66386b21
13c54439606
146c06c958d
153e3b38dd1
hex25b66fac9

10123410121 has 32 divisors (see below), whose sum is σ = 12331353600. Its totient is φ = 8190823680.

The previous prime is 10123410119. The next prime is 10123410131. The reversal of 10123410121 is 12101432101.

It is a cyclic number.

It is not a de Polignac number, because 10123410121 - 21 = 10123410119 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10123410095 and 10123410104.

It is not an unprimeable number, because it can be changed into a prime (10123410131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2197006 + ... + 2201608.

It is an arithmetic number, because the mean of its divisors is an integer number (385354800).

Almost surely, 210123410121 is an apocalyptic number.

10123410121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123410121 is a deficient number, since it is larger than the sum of its proper divisors (2207943479).

10123410121 is a wasteful number, since it uses less digits than its factorization.

10123410121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10123410121 its reverse (12101432101), we get a palindrome (22224842222).

The spelling of 10123410121 in words is "ten billion, one hundred twenty-three million, four hundred ten thousand, one hundred twenty-one".

Divisors: 1 11 17 19 187 209 323 619 3553 4603 6809 10523 11761 50633 78251 87457 115753 129371 199937 860761 962027 1486769 2199307 2849257 16354459 31341827 48437369 54135883 532811059 595494713 920310011 10123410121