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22101220100 = 2252221012201
BaseRepresentation
bin10100100101010101…
…011101101100000100
32010001021100022100102
4110211111131230010
5330230403020400
614053025503232
71411455162011
oct244525355404
963037308312
1022101220100
119411620863
1243497a1b18
132112b01c3b
1410d93ac708
158954749d5
hex52555db04

22101220100 has 18 divisors (see below), whose sum is σ = 47959647834. Its totient is φ = 8840488000.

The previous prime is 22101220091. The next prime is 22101220103. The reversal of 22101220100 is 102210122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4280038084 + 17821182016 = 65422^2 + 133496^2 .

It is not an unprimeable number, because it can be changed into a prime (22101220103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110506001 + ... + 110506200.

Almost surely, 222101220100 is an apocalyptic number.

22101220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101220100 is an abundant number, since it is smaller than the sum of its proper divisors (25858427734).

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

22101220100 is a wasteful number, since it uses less digits than its factorization.

22101220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221012215 (or 221012208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22101220100 its reverse (102210122), we get a palindrome (22203430222).

The spelling of 22101220100 in words is "twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221012201 442024402 884048804 1105061005 2210122010 4420244020 5525305025 11050610050 22101220100