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2201000100 = 2235213564359
BaseRepresentation
bin1000001100110000…
…1001100010100100
312200101120101112020
42003030021202210
514001424000400
61002223023140
7105354122625
oct20314114244
95611511466
102201000100
11a2a452a52
1251513aab0
13290cc1930
1416c45ba4c
15cd3682a0
hex833098a4

2201000100 has 72 divisors (see below), whose sum is σ = 6858102720. Its totient is φ = 541783680.

The previous prime is 2201000077. The next prime is 2201000117. The reversal of 2201000100 is 10001022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278280 + ... + 286079.

Almost surely, 22201000100 is an apocalyptic number.

2201000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201000100 is an abundant number, since it is smaller than the sum of its proper divisors (4657102620).

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

2201000100 is a wasteful number, since it uses less digits than its factorization.

2201000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564389 (or 564382 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2201000100 is about 46914.8174887210. The cubic root of 2201000100 is about 1300.7884960115.

Adding to 2201000100 its reverse (10001022), we get a palindrome (2211001122).

It can be divided in two parts, 2 and 201000100, that added together give a palindrome (201000102).

The spelling of 2201000100 in words is "two billion, two hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 564359 1128718 1693077 2257436 2821795 3386154 5643590 6772308 7336667 8465385 11287180 14108975 14673334 16930770 22010001 28217950 29346668 33861540 36683335 42326925 44020002 56435900 73366670 84653850 88040004 110050005 146733340 169307700 183416675 220100010 366833350 440200020 550250025 733666700 1100500050 2201000100