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101130431444 = 2273531390759
BaseRepresentation
bin101111000101111010…
…1111110101111010100
3100200000221202012122222
41132023311332233110
53124103342301234
6114243024041512
710210051325000
oct1361365765724
9320027665588
10101130431444
1139986545a69
1217724463298
1396c8a868a3
144c75241700
15296d5d242e
hex178bd7ebd4

101130431444 has 48 divisors (see below), whose sum is σ = 210282912000. Its totient is φ = 42523816608.

The previous prime is 101130431443. The next prime is 101130431471. The reversal of 101130431444 is 444134031101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130431443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622664 + ... + 768095.

It is an arithmetic number, because the mean of its divisors is an integer number (4380894000).

Almost surely, 2101130431444 is an apocalyptic number.

101130431444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101130431444 is an abundant number, since it is smaller than the sum of its proper divisors (109152480556).

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

101130431444 is a wasteful number, since it uses less digits than its factorization.

101130431444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390837 (or 1390821 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 101130431444 its reverse (444134031101), we get a palindrome (545264462545).

The spelling of 101130431444 in words is "one hundred one billion, one hundred thirty million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 343 371 686 742 1372 1484 2597 5194 10388 18179 36358 72716 1390759 2781518 5563036 9735313 19470626 38941252 68147191 73710227 136294382 147420454 272588764 294840908 477030337 515971589 954060674 1031943178 1908121348 2063886356 3611801123 7223602246 14447204492 25282607861 50565215722 101130431444