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13413022020 = 22325149949711
BaseRepresentation
bin11000111110111101…
…00111100101000100
31021121202222010011100
430133132213211010
5204432213201040
610054543340100
7653246543316
oct143736474504
937552863140
1013413022020
115763334a72
122723bb1630
131359b22528
1491355d7b6
15537838b30
hex31f7a7944

13413022020 has 72 divisors (see below), whose sum is σ = 40714128000. Its totient is φ = 3574347840.

The previous prime is 13413022003. The next prime is 13413022037. The reversal of 13413022020 is 2022031431.

13413022020 is a `hidden beast` number, since 1 + 341 + 302 + 2 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13413022003) and next prime (13413022037).

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 = 13413021984 and 13413022002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244965 + ... + 294675.

It is an arithmetic number, because the mean of its divisors is an integer number (565474000).

Almost surely, 213413022020 is an apocalyptic number.

13413022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413022020 is an abundant number, since it is smaller than the sum of its proper divisors (27301105980).

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

13413022020 is a wasteful number, since it uses less digits than its factorization.

13413022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51225 (or 51220 counting only the distinct ones).

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

Adding to 13413022020 its reverse (2022031431), we get a palindrome (15435053451).

The spelling of 13413022020 in words is "thirteen billion, four hundred thirteen million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1499 2998 4497 5996 7495 8994 13491 14990 17988 22485 26982 29980 44970 49711 53964 67455 89940 99422 134910 149133 198844 248555 269820 298266 447399 497110 596532 745665 894798 994220 1491330 1789596 2236995 2982660 4473990 8947980 74516789 149033578 223550367 298067156 372583945 447100734 670651101 745167890 894201468 1117751835 1341302202 1490335780 2235503670 2682604404 3353255505 4471007340 6706511010 13413022020