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1221300120100 = 225297712500513
BaseRepresentation
bin10001110001011011001…
…010001110101000100100
311022202101111122022201111
4101301123022032220210
5130002210312320400
62333020232034404
7154143645510364
oct21613312165044
94282344568644
101221300120100
11430a50095635
12178842b32a04
138b225440178
144317b3629a4
1521b7eb6c3ba
hex11c5b28ea24

1221300120100 has 36 divisors (see below), whose sum is σ = 2652934084164. Its totient is φ = 488019988480.

The previous prime is 1221300120071. The next prime is 1221300120113. The reversal of 1221300120100 is 10210031221.

It can be written as a sum of positive squares in 6 ways, for example, as 74297675776 + 1147002444324 = 272576^2 + 1070982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6152557 + ... + 6347956.

It is an arithmetic number, because the mean of its divisors is an integer number (73692613449).

Almost surely, 21221300120100 is an apocalyptic number.

1221300120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221300120100 is an abundant number, since it is smaller than the sum of its proper divisors (1431633964064).

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

1221300120100 is a wasteful number, since it uses less digits than its factorization.

1221300120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501504 (or 12501497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1221300120100 its reverse (10210031221), we get a palindrome (1231510151321).

The spelling of 1221300120100 in words is "one trillion, two hundred twenty-one billion, three hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 977 1954 3908 4885 9770 19540 24425 48850 97700 12500513 25001026 50002052 62502565 125005130 250010260 312512825 625025650 1250051300 12213001201 24426002402 48852004804 61065006005 122130012010 244260024020 305325030025 610650060050 1221300120100