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1301022222100 = 225217097612769
BaseRepresentation
bin10010111011101010111…
…101111010011100010100
311121101011110211201022221
4102323222331322130110
5132303443142101400
62433403101232124
7162665354264626
oct22735275723424
94541143751287
101301022222100
11461840143847
12190191862644
13958bbb152a3
1446d8123cc16
1523c98a45c1a
hex12eeaf7a714

1301022222100 has 36 divisors (see below), whose sum is σ = 2824870563900. Its totient is φ = 520104309760.

The previous prime is 1301022222053. The next prime is 1301022222109. The reversal of 1301022222100 is 12222201031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9658172176 + 1291364049924 = 98276^2 + 1136382^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301022222109) 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, 3635485 + ... + 3977284.

It is an arithmetic number, because the mean of its divisors is an integer number (78468626775).

Almost surely, 21301022222100 is an apocalyptic number.

1301022222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301022222100 is an abundant number, since it is smaller than the sum of its proper divisors (1523848341800).

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

1301022222100 is a wasteful number, since it uses less digits than its factorization.

1301022222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614492 (or 7614485 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1301022222100 its reverse (12222201031), we get a palindrome (1313244423131).

The spelling of 1301022222100 in words is "one trillion, three hundred one billion, twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1709 3418 6836 8545 17090 34180 42725 85450 170900 7612769 15225538 30451076 38063845 76127690 152255380 190319225 380638450 761276900 13010222221 26020444442 52040888884 65051111105 130102222210 260204444420 325255555525 650511111050 1301022222100