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2021661130032 = 2432101431322513
BaseRepresentation
bin11101011010110100011…
…001001011110100110000
321011021021001002021020100
4131122310121023310300
5231110330222130112
64144423250112400
7266026435033455
oct35326431136460
97137231067210
102021661130032
1170a422004445
1228798a27b700
1311884612918b
146dbc561d82c
15378c49c02dc
hex1d6b464bd30

2021661130032 has 120 divisors (see below), whose sum is σ = 5727136529088. Its totient is φ = 665664768000.

The previous prime is 2021661130007. The next prime is 2021661130123. The reversal of 2021661130032 is 2300311661202.

2021661130032 is a `hidden beast` number, since 2 + 0 + 2 + 16 + 611 + 3 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×20216611300322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2021661129978 and 2021661130005.

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, 6107208 + ... + 6429720.

Almost surely, 22021661130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021661130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863568264544).

2021661130032 is an abundant number, since it is smaller than the sum of its proper divisors (3705475399056).

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

2021661130032 is a wasteful number, since it uses less digits than its factorization.

2021661130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323059 (or 323050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 2021661130032 its reverse (2300311661202), we get a palindrome (4321972791234).

The spelling of 2021661130032 in words is "two trillion, twenty-one billion, six hundred sixty-one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 431 606 808 862 909 1212 1293 1616 1724 1818 2424 2586 3448 3636 3879 4848 5172 6896 7272 7758 10344 14544 15516 20688 31032 43531 62064 87062 130593 174124 261186 322513 348248 391779 522372 645026 696496 783558 967539 1044744 1290052 1567116 1935078 2089488 2580104 2902617 3134232 3870156 5160208 5805234 6268464 7740312 11610468 15480624 23220936 32573813 46441872 65147626 97721439 130295252 139003103 195442878 260590504 278006206 293164317 390885756 417009309 521181008 556012412 586328634 781771512 834018618 1112024824 1172657268 1251027927 1563543024 1668037236 2224049648 2345314536 2502055854 3336074472 4690629072 5004111708 6672148944 10008223416 14039313403 20016446832 28078626806 42117940209 56157253612 84235880418 112314507224 126353820627 168471760836 224629014448 252707641254 336943521672 505415282508 673887043344 1010830565016 2021661130032