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132103110030 = 23553307270631
BaseRepresentation
bin111101100000111110…
…1010111110110001110
3110121222111022022012220
41323001331113312032
54131021344010110
6140404244040210
712354431623323
oct1730175276616
9417874268186
10132103110030
115102a8418a1
1221729093066
13c5c3811138
146572924b4a
1536827e2370
hex1ec1f57d8e

132103110030 has 64 divisors (see below), whose sum is σ = 324082902528. Its totient is φ = 34450116480.

The previous prime is 132103110011. The next prime is 132103110037. The reversal of 132103110030 is 30011301231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 132103109991 and 132103110009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103110037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352815 + ... + 623445.

It is an arithmetic number, because the mean of its divisors is an integer number (5063795352).

Almost surely, 2132103110030 is an apocalyptic number.

132103110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132103110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162041451264).

132103110030 is an abundant number, since it is smaller than the sum of its proper divisors (191979792498).

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

132103110030 is a wasteful number, since it uses less digits than its factorization.

132103110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271001.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 132103110030 its reverse (30011301231), we get a palindrome (162114411261).

The spelling of 132103110030 in words is "one hundred thirty-two billion, one hundred three million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 307 318 530 614 795 921 1535 1590 1842 3070 4605 9210 16271 32542 48813 81355 97626 162710 244065 270631 488130 541262 811893 1353155 1623786 2706310 4059465 8118930 14343443 28686886 43030329 71717215 83083717 86060658 143434430 166167434 215151645 249251151 415418585 430303290 498502302 830837170 1246255755 2492511510 4403437001 8806874002 13210311003 22017185005 26420622006 44034370010 66051555015 132103110030