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220101232100 = 225217129471313
BaseRepresentation
bin1100110011111100001…
…1100100010111100100
3210001010020022002002012
43030333003210113210
512101231403411400
6245040233133352
721621212414141
oct3147703442744
9701106262065
10220101232100
1185387453412
12367a755a258
13179a897c359
14a91d9d93c8
155ad3039d35
hex333f0e45e4

220101232100 has 36 divisors (see below), whose sum is σ = 505714952484. Its totient is φ = 82861639680.

The previous prime is 220101232093. The next prime is 220101232103. The reversal of 220101232100 is 1232101022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5893325824 + 214207906276 = 76768^2 + 462826^2 .

It is not an unprimeable number, because it can be changed into a prime (220101232103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64733957 + ... + 64737356.

It is an arithmetic number, because the mean of its divisors is an integer number (14047637569).

Almost surely, 2220101232100 is an apocalyptic number.

220101232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101232100 is an abundant number, since it is smaller than the sum of its proper divisors (285613720384).

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

220101232100 is a wasteful number, since it uses less digits than its factorization.

220101232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129471344 (or 129471337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 220101232100 its reverse (1232101022), we get a palindrome (221333333122).

The spelling of 220101232100 in words is "two hundred twenty billion, one hundred one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 129471313 258942626 517885252 647356565 1294713130 2201012321 2589426260 3236782825 4402024642 6473565650 8804049284 11005061605 12947131300 22010123210 44020246420 55025308025 110050616050 220101232100