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2201001100 = 2252237313109
BaseRepresentation
bin1000001100110000…
…1001110010001100
312200101120102220021
42003030021302030
514001424013400
61002223031524
7105354125554
oct20314116214
95611512807
102201001100
11a2a453781
1251513b5a4
13290cc221c
1416c45c164
15cd36871a
hex83309c8c

2201001100 has 72 divisors (see below), whose sum is σ = 5052489120. Its totient is φ = 830522880.

The previous prime is 2201001083. The next prime is 2201001107. The reversal of 2201001100 is 11001022.

Adding to 2201001100 its reverse (11001022), we get a palindrome (2212002122).

It is not an unprimeable number, because it can be changed into a prime (2201001107) 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, 161346 + ... + 174454.

It is an arithmetic number, because the mean of its divisors is an integer number (70173460).

Almost surely, 22201001100 is an apocalyptic number.

2201001100 is a gapful number since it is divisible by the number (20) 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 2201001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526244560).

2201001100 is an abundant number, since it is smaller than the sum of its proper divisors (2851488020).

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

2201001100 is a wasteful number, since it uses less digits than its factorization.

2201001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13219 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2201001100 is about 46914.8281463334. The cubic root of 2201001100 is about 1300.7886930111.

The spelling of 2201001100 in words is "two billion, two hundred one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 73 92 100 115 146 230 292 365 460 575 730 1150 1460 1679 1825 2300 3358 3650 6716 7300 8395 13109 16790 26218 33580 41975 52436 65545 83950 131090 167900 262180 301507 327725 603014 655450 956957 1206028 1310900 1507535 1913914 3015070 3827828 4784785 6030140 7537675 9569570 15075350 19139140 22010011 23923925 30150700 44020022 47847850 88040044 95695700 110050055 220100110 440200220 550250275 1100500550 2201001100