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10430104122 = 2323757127427
BaseRepresentation
bin10011011011010111…
…01100001000111010
3222220220002012001200
421231223230020322
5132330101312442
64442545155030
7516316264554
oct115553541072
928826065050
1010430104122
114472581669
12203102ba76
13ca2b3c259
1470d3224d4
15410a1b34c
hex26daec23a

10430104122 has 48 divisors (see below), whose sum is σ = 23250825312. Its totient is φ = 3376689120.

The previous prime is 10430104073. The next prime is 10430104133. The reversal of 10430104122 is 22140103401.

10430104122 is a `hidden beast` number, since 10 + 430 + 104 + 122 = 666.

It is a super-2 number, since 2×104301041222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10430104095 and 10430104104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366573 + ... + 393999.

It is an arithmetic number, because the mean of its divisors is an integer number (484392194).

Almost surely, 210430104122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430104122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625412656).

10430104122 is an abundant number, since it is smaller than the sum of its proper divisors (12820721190).

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

10430104122 is a wasteful number, since it uses less digits than its factorization.

10430104122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28043 (or 28040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10430104122 its reverse (22140103401), we get a palindrome (32570207523).

The spelling of 10430104122 in words is "ten billion, four hundred thirty million, one hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 571 666 1142 1713 3426 5139 10278 21127 27427 42254 54854 63381 82281 126762 164562 190143 246843 380286 493686 1014799 2029598 3044397 6088794 9133191 15660817 18266382 31321634 46982451 93964902 140947353 281894706 579450229 1158900458 1738350687 3476701374 5215052061 10430104122