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13321222020 = 22325388119069
BaseRepresentation
bin11000110100000000…
…11011011110000100
31021101101020012020100
430122000123132010
5204240213101040
610041504004100
7651053342661
oct143200333604
937341205210
1013321222020
1157165342a7
1226b9300630
131343ac01c2
149052a4a68
1552e753b30
hex31a01b784

13321222020 has 72 divisors (see below), whose sum is σ = 40420238040. Its totient is φ = 3551224320.

The previous prime is 13321222001. The next prime is 13321222021. The reversal of 13321222020 is 2022212331.

It can be written as a sum of positive squares in 4 ways, for example, as 6111174276 + 7210047744 = 78174^2 + 84912^2 .

It is a super-2 number, since 2×133212220202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13321221984 and 13321222002.

It is not an unprimeable number, because it can be changed into a prime (13321222021) 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, 689046 + ... + 708114.

It is an arithmetic number, because the mean of its divisors is an integer number (561392195).

Almost surely, 213321222020 is an apocalyptic number.

13321222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321222020 is an abundant number, since it is smaller than the sum of its proper divisors (27099016020).

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

13321222020 is a wasteful number, since it uses less digits than its factorization.

13321222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22965 (or 22960 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13321222020 its reverse (2022212331), we get a palindrome (15343434351).

The spelling of 13321222020 in words is "thirteen billion, three hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3881 7762 11643 15524 19069 19405 23286 34929 38138 38810 46572 57207 58215 69858 76276 77620 95345 114414 116430 139716 171621 174645 190690 228828 232860 286035 343242 349290 381380 572070 686484 698580 858105 1144140 1716210 3432420 74006789 148013578 222020367 296027156 370033945 444040734 666061101 740067890 888081468 1110101835 1332122202 1480135780 2220203670 2664244404 3330305505 4440407340 6660611010 13321222020