Search a number
-
+
10132050330103 = 134130496234659
BaseRepresentation
bin1001001101110000110101…
…0000101100000111110111
31022212121121000020001121011
42103130031100230013313
52312000414341030403
633314333305533051
72064005436544402
oct223341520540767
938777530201534
1010132050330103
113256a842a6539
1211777ab1a4187
135865a9a49b20
14270572a34d39
15128857caba6d
hex9370d42c1f7

10132050330103 has 16 divisors (see below), whose sum is σ = 11181239244000. Its totient is φ = 9121554040320.

The previous prime is 10132050330071. The next prime is 10132050330121. The reversal of 10132050330103 is 30103305023101.

It is a happy number.

10132050330103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10132050330103 - 25 = 10132050330071 is a prime.

It is a super-3 number, since 3×101320503301033 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132050330203) 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, 1492213 + ... + 4742446.

It is an arithmetic number, because the mean of its divisors is an integer number (698827452750).

Almost surely, 210132050330103 is an apocalyptic number.

10132050330103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10132050330103 is a deficient number, since it is larger than the sum of its proper divisors (1049188913897).

10132050330103 is a wasteful number, since it uses less digits than its factorization.

10132050330103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237762.

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 10132050330103 its reverse (30103305023101), we get a palindrome (40235355353204).

The spelling of 10132050330103 in words is "ten trillion, one hundred thirty-two billion, fifty million, three hundred thirty thousand, one hundred three".

Divisors: 1 13 41 533 3049 39637 125009 1625117 6234659 81050567 255621019 3323073247 19009475291 247123178783 779388486931 10132050330103