Search a number
-
+
10011001010120 = 23511171338369119
BaseRepresentation
bin1001000110101101111000…
…1010001011011111001000
31022110001010212120110200122
42101223132022023133020
52303010012224310440
633142553530522412
72052161636365145
oct221533612133710
938401125513618
1010011001010120
11320a7070a1820
121158247b96408
13578058347876
1426876c1c33cc
15125620b317b5
hex91ade28b7c8

10011001010120 has 64 divisors (see below), whose sum is σ = 26017895692800. Its totient is φ = 3426224942080.

The previous prime is 10011001010009. The next prime is 10011001010173. The reversal of 10011001010120 is 2101010011001.

It is a happy number.

10011001010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10011001010098 and 10011001010107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669177080 + ... + 669192039.

It is an arithmetic number, because the mean of its divisors is an integer number (406529620200).

Almost surely, 210011001010120 is an apocalyptic number.

10011001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011001010120 is an abundant number, since it is smaller than the sum of its proper divisors (16006894682680).

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

10011001010120 is a wasteful number, since it uses less digits than its factorization.

10011001010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338369158 (or 1338369154 counting only the distinct ones).

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

Adding to 10011001010120 its reverse (2101010011001), we get a palindrome (12112011021121).

The spelling of 10011001010120 in words is "ten trillion, eleven billion, one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 1338369119 2676738238 5353476476 6691845595 10706952952 13383691190 14722060309 22752275023 26767382380 29444120618 45504550046 53534764760 58888241236 73610301545 91009100092 113761375115 117776482472 147220603090 182018200184 227522750230 250275025253 294441206180 455045500460 500550050506 588882412360 910091000920 1001100101012 1251375126265 2002200202024 2502750252530 5005500505060 10011001010120