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132211021300 = 225217191407179
BaseRepresentation
bin111101100100001100…
…1000001010111110100
3110122021000100202122121
41323020121001113310
54131232010140200
6140423101005324
712360212065411
oct1731031012764
9418230322577
10132211021300
1151085747166
1221759253844
13c60cc94867
146582db5108
15368c00ae1a
hex1ec86415f4

132211021300 has 72 divisors (see below), whose sum is σ = 305365455360. Its totient is φ = 49512844800.

The previous prime is 132211021213. The next prime is 132211021303. The reversal of 132211021300 is 3120112231.

132211021300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211021303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121111 + ... + 528289.

It is an arithmetic number, because the mean of its divisors is an integer number (4241186880).

Almost surely, 2132211021300 is an apocalyptic number.

132211021300 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 132211021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152682727680).

132211021300 is an abundant number, since it is smaller than the sum of its proper divisors (173154434060).

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

132211021300 is a wasteful number, since it uses less digits than its factorization.

132211021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407401 (or 407394 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132211021300 its reverse (3120112231), we get a palindrome (135331133531).

The spelling of 132211021300 in words is "one hundred thirty-two billion, two hundred eleven million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 191 340 382 425 764 850 955 1700 1910 3247 3820 4775 6494 9550 12988 16235 19100 32470 64940 81175 162350 324700 407179 814358 1628716 2035895 4071790 6922043 8143580 10179475 13844086 20358950 27688172 34610215 40717900 69220430 77771189 138440860 155542378 173051075 311084756 346102150 388855945 692204300 777711890 1322110213 1555423780 1944279725 2644220426 3888559450 5288440852 6610551065 7777118900 13221102130 26442204260 33052755325 66105510650 132211021300