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1022131113320 = 23559359430487
BaseRepresentation
bin11101101111110111100…
…00110000110101101000
310121201022002000110121202
432313323300300311220
5113221311031111240
62101321025023332
7133563235053212
oct16677360606550
93551262013552
101022131113320
11364535403999
12146119784b48
1375504335c75
14376857975b2
151b8c4643315
hexedfbc30d68

1022131113320 has 32 divisors (see below), whose sum is σ = 2299839091200. Its totient is φ = 408844607808.

The previous prime is 1022131113313. The next prime is 1022131113331. The reversal of 1022131113320 is 233111312201.

It is a happy number.

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 = 1022131113292 and 1022131113301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2159117 + ... + 2589603.

It is an arithmetic number, because the mean of its divisors is an integer number (71869971600).

Almost surely, 21022131113320 is an apocalyptic number.

1022131113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022131113320 is an abundant number, since it is smaller than the sum of its proper divisors (1277707977880).

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

1022131113320 is a wasteful number, since it uses less digits than its factorization.

1022131113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489857 (or 489853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1022131113320 its reverse (233111312201), we get a palindrome (1255242425521).

The spelling of 1022131113320 in words is "one trillion, twenty-two billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59359 118718 237436 296795 430487 474872 593590 860974 1187180 1721948 2152435 2374360 3443896 4304870 8609740 17219480 25553277833 51106555666 102213111332 127766389165 204426222664 255532778330 511065556660 1022131113320