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10120421140 = 2254112599803
BaseRepresentation
bin10010110110011100…
…10101111100010100
3222010022100122212121
421123032111330110
5131211311434030
64352123425324
7505536105664
oct113316257424
928108318777
1010120421140
114323794215
121b65385244
13c53930c9b
146c014c1a4
153e374847a
hex25b395f14

10120421140 has 48 divisors (see below), whose sum is σ = 21790762560. Its totient is φ = 3945893120.

The previous prime is 10120421111. The next prime is 10120421159. The reversal of 10120421140 is 4112402101.

It is a happy number.

It is a congruent number.

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, 1027479 + ... + 1037281.

It is an arithmetic number, because the mean of its divisors is an integer number (453974220).

Almost surely, 210120421140 is an apocalyptic number.

10120421140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10895381280).

10120421140 is an abundant number, since it is smaller than the sum of its proper divisors (11670341420).

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

10120421140 is a wasteful number, since it uses less digits than its factorization.

10120421140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10120421140 its reverse (4112402101), we get a palindrome (14232823241).

The spelling of 10120421140 in words is "ten billion, one hundred twenty million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1259 2518 5036 6295 9803 12590 19606 25180 39212 49015 51619 98030 103238 196060 206476 258095 401923 516190 803846 1032380 1607692 2009615 4019230 8038460 12341977 24683954 49367908 61709885 123419770 246839540 506021057 1012042114 2024084228 2530105285 5060210570 10120421140