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20222131013120 = 29538232066249
BaseRepresentation
bin1001001100100010101001…
…11011111000011000000000
32122121012212002011010211202
410212101110323320120000
510122304411014404440
6111001530240400332
74155000154335011
oct446212473703000
978535762133752
1020222131013120
116497180848a23
1223272269160a8
13b38c2863683a
144dca83665008
152510561b7615
hex126454ef8600

20222131013120 has 80 divisors (see below), whose sum is σ = 48498424920000. Its totient is φ = 8086732652544.

The previous prime is 20222131013113. The next prime is 20222131013153. The reversal of 20222131013120 is 2131013122202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×202221310131202 (a number of 27 digits) contains 22 as substring.

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 = 20222131013092 and 20222131013101.

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, 8753756 + ... + 10820004.

It is an arithmetic number, because the mean of its divisors is an integer number (606230311500).

Almost surely, 220222131013120 is an apocalyptic number.

20222131013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222131013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249212460000).

20222131013120 is an abundant number, since it is smaller than the sum of its proper divisors (28276293906880).

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

20222131013120 is an equidigital number, since it uses as much as digits as its factorization.

20222131013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070095 (or 2070079 counting only the distinct ones).

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

Adding to 20222131013120 its reverse (2131013122202), we get a palindrome (22353144135322).

The spelling of 20222131013120 in words is "twenty trillion, two hundred twenty-two billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3823 7646 15292 19115 30584 38230 61168 76460 122336 152920 244672 305840 489344 611680 978688 1223360 1957376 2066249 2446720 4132498 4893440 8264996 9786880 10331245 16529992 20662490 33059984 41324980 66119968 82649960 132239936 165299920 264479872 330599840 528959744 661199680 1057919488 1322399360 2644798720 5289597440 7899269927 15798539854 31597079708 39496349635 63194159416 78992699270 126388318832 157985398540 252776637664 315970797080 505553275328 631941594160 1011106550656 1263883188320 2022213101312 2527766376640 4044426202624 5055532753280 10111065506560 20222131013120