Search a number
-
+
10110010010120 = 235478776131887
BaseRepresentation
bin1001001100011110101110…
…0011100010101000001000
31022210111200222110210111122
42103013223203202220020
52311120300030310440
633300250253214412
72062265321115626
oct223075343425010
938714628423448
1010110010010120
1132486a40a0959
121173479a91408
135844a674b777
1426d48179a516
15127eb7d667b5
hex931eb8e2a08

10110010010120 has 64 divisors (see below), whose sum is σ = 23258005908480. Its totient is φ = 3953447652096.

The previous prime is 10110010010081. The next prime is 10110010010129. The reversal of 10110010010120 is 2101001001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10110010010098 and 10110010010107.

It is not an unprimeable number, because it can be changed into a prime (10110010010129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417184 + ... + 4714703.

It is an arithmetic number, because the mean of its divisors is an integer number (363406342320).

Almost surely, 210110010010120 is an apocalyptic number.

10110010010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110010010120 is an abundant number, since it is smaller than the sum of its proper divisors (13147995898360).

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

10110010010120 is a wasteful number, since it uses less digits than its factorization.

10110010010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132822 (or 6132818 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10110010010120 its reverse (2101001001101), we get a palindrome (12211011011221).

The spelling of 10110010010120 in words is "ten trillion, one hundred ten billion, ten million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 877 940 1754 1880 3508 4385 7016 8770 17540 35080 41219 82438 164876 206095 329752 412190 824380 1648760 6131887 12263774 24527548 30659435 49055096 61318870 122637740 245275480 288198689 576397378 1152794756 1440993445 2305589512 2881986890 5377664899 5763973780 10755329798 11527947560 21510659596 26888324495 43021319192 53776648990 107553297980 215106595960 252750250253 505500500506 1011001001012 1263751251265 2022002002024 2527502502530 5055005005060 10110010010120