Search a number
-
+
10241102601436 = 2277318127681349
BaseRepresentation
bin1001010100000111000101…
…0010000101110011011100
31100021001002001022102122111
42111001301102011303130
52320242234231221221
633440410402323404
72104616032551460
oct225016122056334
940231061272574
1010241102601436
113299255485013
121194964659564
13593968aaba25
14275959dd64a0
1512b5dba9abe1
hex95071485cdc

10241102601436 has 48 divisors (see below), whose sum is σ = 20877495620800. Its totient is φ = 4305003240960.

The previous prime is 10241102601427. The next prime is 10241102601437. The reversal of 10241102601436 is 63410620114201.

It is a junction number, because it is equal to n+sod(n) for n = 10241102601398 and 10241102601407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241102601437) 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, 13470711 + ... + 14210638.

Almost surely, 210241102601436 is an apocalyptic number.

It is an amenable number.

10241102601436 is an abundant number, since it is smaller than the sum of its proper divisors (10636393019364).

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

10241102601436 is a wasteful number, since it uses less digits than its factorization.

10241102601436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27681614 (or 27681612 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 10241102601436 its reverse (63410620114201), we get a palindrome (73651722715637).

The spelling of 10241102601436 in words is "ten trillion, two hundred forty-one billion, one hundred two million, six hundred one thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 73 146 181 292 362 511 724 1022 1267 2044 2534 5068 13213 26426 52852 92491 184982 369964 27681349 55362698 110725396 193769443 387538886 775077772 2020738477 4041476954 5010324169 8082953908 10020648338 14145169339 20041296676 28290338678 35072269183 56580677356 70144538366 140289076732 365753664337 731507328674 1463014657348 2560275650359 5120551300718 10241102601436