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13321123220 = 225739124057
BaseRepresentation
bin11000110100000000…
…00011010110010100
31021101101001011201002
430122000003112110
5204240201420340
610041501522432
7651052451636
oct143200032624
937341034632
1013321123220
115716477049
1226b9273418
131343a87242
1490527aa56
1552e734715
hex31a003594

13321123220 has 24 divisors (see below), whose sum is σ = 28357572264. Its totient is φ = 5255456256.

The previous prime is 13321123213. The next prime is 13321123237. The reversal of 13321123220 is 2232112331.

It can be written as a sum of positive squares in 4 ways, for example, as 563872516 + 12757250704 = 23746^2 + 112948^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13321123192 and 13321123201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4560569 + ... + 4563488.

It is an arithmetic number, because the mean of its divisors is an integer number (1181565511).

Almost surely, 213321123220 is an apocalyptic number.

13321123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321123220 is an abundant number, since it is smaller than the sum of its proper divisors (15036449044).

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

13321123220 is a wasteful number, since it uses less digits than its factorization.

13321123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124139 (or 9124137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13321123220 its reverse (2232112331), we get a palindrome (15553235551).

The spelling of 13321123220 in words is "thirteen billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 9124057 18248114 36496228 45620285 91240570 182481140 666056161 1332112322 2664224644 3330280805 6660561610 13321123220