Search a number
-
+
10110001000110 = 2351186573353879
BaseRepresentation
bin1001001100011110101100…
…0001001010111010101110
31022210111200100112001002120
42103013223001022322232
52311120240224000420
633300245332133410
72062265151411444
oct223075301127256
938714610461076
1010110001000110
113248699aa7570
121173476a67266
135844a49156bb
1426d4804d2b94
15127eb7186d40
hex931eb04aeae

10110001000110 has 64 divisors (see below), whose sum is σ = 26470201351680. Its totient is φ = 2450874097280.

The previous prime is 10110001000091. The next prime is 10110001000129. The reversal of 10110001000110 is 1100010001101.

10110001000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10110001000091) and next prime (10110001000129).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28392151 + ... + 28746029.

It is an arithmetic number, because the mean of its divisors is an integer number (413596896120).

Almost surely, 210110001000110 is an apocalyptic number.

10110001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10110001000110 is an abundant number, since it is smaller than the sum of its proper divisors (16360200351570).

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

10110001000110 is a wasteful number, since it uses less digits than its factorization.

10110001000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440473.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10110001000110 its reverse (1100010001101), we get a palindrome (11210011001211).

Subtracting from 10110001000110 its reverse (1100010001101), we obtain a palindrome (9009990999009).

The spelling of 10110001000110 in words is "ten trillion, one hundred ten billion, one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 86573 173146 259719 353879 432865 519438 707758 865730 952303 1061637 1298595 1769395 1904606 2123274 2597190 2856909 3538790 3892669 4761515 5308185 5713818 7785338 9523030 10616370 11678007 14284545 19463345 23356014 28569090 38926690 58390035 116780070 30636366667 61272733334 91909100001 153181833335 183818200002 306363666670 337000033337 459545500005 674000066674 919091000010 1011000100011 1685000166685 2022000200022 3370000333370 5055000500055 10110001000110