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132030122300 = 225223151137991
BaseRepresentation
bin111101011110110011…
…0111100100100111100
3110121210101222010212122
41322331212330210330
54130344202403200
6140353115422112
712352554344156
oct1727546744474
9417711863778
10132030122300
1150aa262005a
1221708754938
13c5b166772b
146566d65ad6
15367b1c6385
hex1ebd9bc93c

132030122300 has 72 divisors (see below), whose sum is σ = 299167852032. Its totient is φ = 50481112000.

The previous prime is 132030122291. The next prime is 132030122351. The reversal of 132030122300 is 3221030231.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3456305 + ... + 3494295.

It is an arithmetic number, because the mean of its divisors is an integer number (4155109056).

Almost surely, 2132030122300 is an apocalyptic number.

132030122300 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 132030122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149583926016).

132030122300 is an abundant number, since it is smaller than the sum of its proper divisors (167137729732).

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

132030122300 is a wasteful number, since it uses less digits than its factorization.

132030122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39539 (or 39532 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132030122300 its reverse (3221030231), we get a palindrome (135251152531).

The spelling of 132030122300 in words is "one hundred thirty-two billion, thirty million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1511 2300 3022 6044 7555 15110 30220 34753 37775 37991 69506 75550 75982 139012 151100 151964 173765 189955 347530 379910 695060 759820 868825 873793 949775 1737650 1747586 1899550 3475300 3495172 3799100 4368965 8737930 17475860 21844825 43689650 57404401 87379300 114808802 229617604 287022005 574044010 1148088020 1320301223 1435110025 2640602446 2870220050 5281204892 5740440100 6601506115 13203012230 26406024460 33007530575 66015061150 132030122300