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132130330100 = 225219127547577
BaseRepresentation
bin111101100001110010…
…1001101010111110100
3110122001101112020010122
41323003211031113310
54131100331030400
6140411055311112
712355212163166
oct1730345152764
9418041466118
10132130330100
115104414371a
122173621b498
13c5c93519a2
1465763ac936
153684dbc685
hex1ec394d5f4

132130330100 has 72 divisors (see below), whose sum is σ = 304190530560. Its totient is φ = 49676094720.

The previous prime is 132130330097. The next prime is 132130330183. The reversal of 132130330100 is 1033031231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32489 + ... + 515088.

It is an arithmetic number, because the mean of its divisors is an integer number (4224868480).

Almost surely, 2132130330100 is an apocalyptic number.

132130330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152095265280).

132130330100 is an abundant number, since it is smaller than the sum of its proper divisors (172060200460).

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

132130330100 is a wasteful number, since it uses less digits than its factorization.

132130330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547737 (or 547730 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 132130330100 its reverse (1033031231), we get a palindrome (133163361331).

The spelling of 132130330100 in words is "one hundred thirty-two billion, one hundred thirty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 127 190 254 380 475 508 635 950 1270 1900 2413 2540 3175 4826 6350 9652 12065 12700 24130 48260 60325 120650 241300 547577 1095154 2190308 2737885 5475770 10403963 10951540 13689425 20807926 27378850 41615852 52019815 54757700 69542279 104039630 139084558 208079260 260099075 278169116 347711395 520198150 695422790 1040396300 1321303301 1390845580 1738556975 2642606602 3477113950 5285213204 6606516505 6954227900 13213033010 26426066020 33032582525 66065165050 132130330100