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220100132000 = 255377860719
BaseRepresentation
bin1100110011111011111…
…1010111110010100000
3210001010011020012000202
43030332333113302200
512101231113211000
6245040153404332
721621200152640
oct3147677276240
9701104205022
10220100132000
1185386871941
12367a71096a8
13179a86856c8
14a91d7d0520
155ad2dbddd5
hex333efd7ca0

220100132000 has 96 divisors (see below), whose sum is σ = 618041249280. Its totient is φ = 75462892800.

The previous prime is 220100131997. The next prime is 220100132009. The reversal of 220100132000 is 231001022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220100132009) 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 15 ways as a sum of consecutive naturals, for example, 3902360 + ... + 3958359.

It is an arithmetic number, because the mean of its divisors is an integer number (6437929680).

Almost surely, 2220100132000 is an apocalyptic number.

220100132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100132000 is an abundant number, since it is smaller than the sum of its proper divisors (397941117280).

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

220100132000 is an equidigital number, since it uses as much as digits as its factorization.

220100132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860751 (or 7860733 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 220100132000 its reverse (231001022), we get a palindrome (220331133022).

The spelling of 220100132000 in words is "two hundred twenty billion, one hundred million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 7860719 15721438 31442876 39303595 55025033 62885752 78607190 110050066 125771504 157214380 196517975 220100132 251543008 275125165 314428760 393035950 440200264 550250330 628857520 786071900 880400528 982589875 1100500660 1257715040 1375625825 1572143800 1760801056 1965179750 2201001320 2751251650 3144287600 3930359500 4402002640 5502503300 6288575200 6878129125 7860719000 8804005280 11005006600 13756258250 15721438000 22010013200 27512516500 31442876000 44020026400 55025033000 110050066000 220100132000