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2042322012320 = 255177331024357
BaseRepresentation
bin11101101110000011111…
…000001100100010100000
321020020120221011211112212
4131232003320030202200
5231430133413343240
64202121344341252
7300360433450052
oct35560370144240
97206527154485
102042322012320
11718164595077
1228b995614828
1311a7896c8105
1470bc55b98d2
15381d3783165
hex1db83e0c8a0

2042322012320 has 96 divisors (see below), whose sum is σ = 5115783164688. Its totient is φ = 767824478208.

The previous prime is 2042322012271. The next prime is 2042322012343. The reversal of 2042322012320 is 232102232402.

It can be written as a sum of positive squares in 8 ways, for example, as 2019002279056 + 23319733264 = 1420916^2 + 152708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1481582 + ... + 2505938.

Almost surely, 22042322012320 is an apocalyptic number.

2042322012320 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 2042322012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557891582344).

2042322012320 is an abundant number, since it is smaller than the sum of its proper divisors (3073461152368).

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

2042322012320 is a wasteful number, since it uses less digits than its factorization.

2042322012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025122 (or 1025114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2042322012320 its reverse (232102232402), we get a palindrome (2274424244722).

The spelling of 2042322012320 in words is "two trillion, forty-two billion, three hundred twenty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 733 1360 1466 2720 2932 3665 5864 7330 11728 12461 14660 23456 24922 29320 49844 58640 62305 99688 117280 124610 199376 249220 398752 498440 996880 1024357 1993760 2048714 4097428 5121785 8194856 10243570 16389712 17414069 20487140 32779424 34828138 40974280 69656276 81948560 87070345 139312552 163897120 174140690 278625104 348281380 557250208 696562760 750853681 1393125520 1501707362 2786251040 3003414724 3754268405 6006829448 7508536810 12013658896 12764512577 15017073620 24027317792 25529025154 30034147240 51058050308 60068294480 63822562885 102116100616 120136588960 127645125770 204232201232 255290251540 408464402464 510580503080 1021161006160 2042322012320