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10144241020 = 2251721755059
BaseRepresentation
bin10010111001010010…
…01101010101111100
3222011222011211121101
421130221031111330
5131233411203040
64354334142444
7506245424464
oct113451152574
928158154541
1010144241020
114336183471
121b71351a24
13c58850ca4
146c338cba4
153e58a109a
hex25ca4d57c

10144241020 has 36 divisors (see below), whose sum is σ = 22629743640. Its totient is φ = 3819006208.

The previous prime is 10144240987. The next prime is 10144241021. The reversal of 10144241020 is 2014244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144241021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 871750 + ... + 883309.

It is an arithmetic number, because the mean of its divisors is an integer number (628603990).

Almost surely, 210144241020 is an apocalyptic number.

10144241020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144241020 is an abundant number, since it is smaller than the sum of its proper divisors (12485502620).

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

10144241020 is a wasteful number, since it uses less digits than its factorization.

10144241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755102 (or 1755083 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10144241020 its reverse (2014244101), we get a palindrome (12158485121).

It can be divided in two parts, 101 and 44241020, that added together give a triangular number (44241121 = T9406).

The spelling of 10144241020 in words is "ten billion, one hundred forty-four million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 1755059 3510118 7020236 8775295 17550590 29836003 35101180 59672006 119344012 149180015 298360030 507212051 596720060 1014424102 2028848204 2536060255 5072120510 10144241020