Search a number
-
+
10004312123298 = 23217922713678417
BaseRepresentation
bin1001000110010100111101…
…1110000110011110100010
31022102101212201020210221200
42101211033132012132202
52302402312400421143
633135530104502030
72051534115652323
oct221451736063642
938371781223850
1010004312123298
113207894422089
121156a9ba7a916
13577530630b7c
142682d5ad044a
1512537d7be1d3
hex9194f7867a2

10004312123298 has 48 divisors (see below), whose sum is σ = 21893128714080. Its totient is φ = 3301531913088.

The previous prime is 10004312123287. The next prime is 10004312123329. The reversal of 10004312123298 is 89232121340001.

10004312123298 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 312 + 12 + 329 + 8 = 666.

10004312123298 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100043121232982 (a number of 27 digits) contains 22 as substring.

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, 6107815 + ... + 7570602.

It is an arithmetic number, because the mean of its divisors is an integer number (456106848210).

Almost surely, 210004312123298 is an apocalyptic number.

10004312123298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10004312123298 is an abundant number, since it is smaller than the sum of its proper divisors (11888816590782).

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

10004312123298 is a wasteful number, since it uses less digits than its factorization.

10004312123298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678831 (or 13678828 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10004312123298 its reverse (89232121340001), we get a palindrome (99236433463299).

The spelling of 10004312123298 in words is "ten trillion, four billion, three hundred twelve million, one hundred twenty-three thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 179 227 358 454 537 681 1074 1362 1611 2043 3222 4086 40633 81266 121899 243798 365697 731394 13678417 27356834 41035251 82070502 123105753 246211506 2448436643 3105000659 4896873286 6210001318 7345309929 9315001977 14690619858 18630003954 22035929787 27945005931 44071859574 55890011862 555795117961 1111590235922 1667385353883 3334770707766 5002156061649 10004312123298