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1413103122020 = 2251721012420609
BaseRepresentation
bin10100100100000011100…
…000100111011001100100
312000002110120211100202102
4110210003200213121210
5141123013344401040
63001100504031232
7204044004231662
oct24440340473144
95002416740672
101413103122020
114a5325966857
121a9a51462518
13a3341473405
144c574939c32
1526b58681515
hex14903827664

1413103122020 has 72 divisors (see below), whose sum is σ = 3183557224680. Its totient is φ = 526724300800.

The previous prime is 1413103121917. The next prime is 1413103122083. The reversal of 1413103122020 is 202213013141.

It can be written as a sum of positive squares in 12 ways, for example, as 1321904164 + 1411781217856 = 36358^2 + 1188184^2 .

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 = 1413103121983 and 1413103122001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626525 + ... + 1794084.

It is an arithmetic number, because the mean of its divisors is an integer number (44216072565).

Almost surely, 21413103122020 is an apocalyptic number.

1413103122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413103122020 is an abundant number, since it is smaller than the sum of its proper divisors (1770454102660).

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

1413103122020 is a wasteful number, since it uses less digits than its factorization.

1413103122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420753 (or 2420734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1413103122020 its reverse (202213013141), we get a palindrome (1615316135161).

The spelling of 1413103122020 in words is "one trillion, four hundred thirteen billion, one hundred three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 289 340 404 505 578 1010 1156 1445 1717 2020 2890 3434 5780 6868 8585 17170 29189 34340 58378 116756 145945 291890 583780 2420609 4841218 9682436 12103045 24206090 41150353 48412180 82300706 164601412 205751765 244481509 411503530 488963018 699556001 823007060 977926036 1222407545 1399112002 2444815090 2798224004 3497780005 4156185653 4889630180 6995560010 8312371306 13991120020 16624742612 20780928265 41561856530 70655156101 83123713060 141310312202 282620624404 353275780505 706551561010 1413103122020