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10332202134441 = 31119349162729021
BaseRepresentation
bin1001011001011010011100…
…1111001110101110101001
31100120202012221011012111110
42112112213033032232221
52323240322221300231
633550314221420533
72114322413034555
oct226264717165651
940522187135443
1010332202134441
113323953821570
1211aa54970a749
1359c42664a245
1427a11cd50865
1512db6e71a046
hex965a73ceba9

10332202134441 has 64 divisors (see below), whose sum is σ = 15875266176000. Its totient is φ = 5911527225600.

The previous prime is 10332202134439. The next prime is 10332202134451. The reversal of 10332202134441 is 14443120223301.

It is not a de Polignac number, because 10332202134441 - 21 = 10332202134439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10332202134399 and 10332202134408.

It is not an unprimeable number, because it can be changed into a prime (10332202134451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356010511 + ... + 356039531.

It is an arithmetic number, because the mean of its divisors is an integer number (248051034000).

Almost surely, 210332202134441 is an apocalyptic number.

10332202134441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10332202134441 is a deficient number, since it is larger than the sum of its proper divisors (5543064041559).

10332202134441 is a wasteful number, since it uses less digits than its factorization.

10332202134441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31030.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10332202134441 its reverse (14443120223301), we get a palindrome (24775322357742).

The spelling of 10332202134441 in words is "ten trillion, three hundred thirty-two billion, two hundred two million, one hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 3 11 19 33 57 209 349 627 1047 1627 3839 4881 6631 11517 17897 19893 29021 30913 53691 72941 87063 92739 218823 319231 340043 551399 567823 957693 1020129 1654197 1703469 6065389 6246053 10128329 10788637 18196167 18738159 30384987 32365911 47217167 111411619 118675007 141651501 192438251 334234857 356025021 519388837 577314753 897126173 1558166511 2116820761 2691378519 6350462283 9868387903 16478791283 29605163709 49436373849 181266704113 313097034377 543800112339 939291103131 3444067378147 10332202134441