Search a number
-
+
10114403105310 = 2357131367662781
BaseRepresentation
bin1001001100101111000101…
…1001110111101000011110
31022210221001010212011011220
42103023301121313220132
52311203244143332220
633302254224354210
72062512223605420
oct223136131675036
938727033764156
1010114403105310
11324a548964339
1211742a5175966
13584a2693498a
1426d77add8810
15128173889540
hex932f1677a1e

10114403105310 has 64 divisors (see below), whose sum is σ = 27954136641024. Its totient is φ = 2294215747200.

The previous prime is 10114403105309. The next prime is 10114403105311. The reversal of 10114403105310 is 1350130441101.

It is an interprime number because it is at equal distance from previous prime (10114403105309) and next prime (10114403105311).

It is a super-2 number, since 2×101144031053102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114403105311) 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, 183803881 + ... + 183858900.

It is an arithmetic number, because the mean of its divisors is an integer number (436783385016).

Almost surely, 210114403105310 is an apocalyptic number.

10114403105310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10114403105310 is an abundant number, since it is smaller than the sum of its proper divisors (17839733535714).

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

10114403105310 is a wasteful number, since it uses less digits than its factorization.

10114403105310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367662929.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10114403105310 its reverse (1350130441101), we get a palindrome (11464533546411).

The spelling of 10114403105310 in words is "ten trillion, one hundred fourteen billion, four hundred three million, one hundred five thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 262 393 655 786 917 1310 1834 1965 2751 3930 4585 5502 9170 13755 27510 367662781 735325562 1102988343 1838313905 2205976686 2573639467 3676627810 5147278934 5514941715 7720918401 11029883430 12868197335 15441836802 25736394670 38604592005 48163824311 77209184010 96327648622 144491472933 240819121555 288982945866 337146770177 481638243110 674293540354 722457364665 1011440310531 1444914729330 1685733850885 2022880621062 3371467701770 5057201552655 10114403105310