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2002011233016 = 2331719298905427
BaseRepresentation
bin11101001000100001001…
…010110001101011111000
321002101112121100001222210
4131020201022301223320
5230300104333424031
64131413344415120
7264432463463124
oct35104112615370
97071477301883
102002011233016
1170205916aa33
122840056174a0
13116a34142592
146cc7da30584
153712485d746
hex1d2212b1af8

2002011233016 has 128 divisors (see below), whose sum is σ = 5770717344000. Its totient is φ = 574506842112.

The previous prime is 2002011232967. The next prime is 2002011233017. The reversal of 2002011233016 is 6103321102002.

It is a junction number, because it is equal to n+sod(n) for n = 2002011232983 and 2002011233001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011233017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4227906 + ... + 4677521.

It is an arithmetic number, because the mean of its divisors is an integer number (45083729250).

Almost surely, 22002011233016 is an apocalyptic number.

It is an amenable number.

2002011233016 is an abundant number, since it is smaller than the sum of its proper divisors (3768706110984).

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

2002011233016 is a wasteful number, since it uses less digits than its factorization.

2002011233016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905501 (or 8905497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2002011233016 its reverse (6103321102002), we get a palindrome (8105332335018).

The spelling of 2002011233016 in words is "two trillion, two billion, eleven million, two hundred thirty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 17 19 24 29 34 38 51 57 58 68 76 87 102 114 116 136 152 174 204 228 232 323 348 408 456 493 551 646 696 969 986 1102 1292 1479 1653 1938 1972 2204 2584 2958 3306 3876 3944 4408 5916 6612 7752 9367 11832 13224 18734 28101 37468 56202 74936 112404 224808 8905427 17810854 26716281 35621708 53432562 71243416 106865124 151392259 169203113 213730248 258257383 302784518 338406226 454176777 507609339 516514766 605569036 676812452 774772149 908353554 1015218678 1033029532 1211138072 1353624904 1549544298 1816707108 2030437356 2066059064 2876452921 3099088596 3633414216 4060874712 4390375511 4906890277 5752905842 6198177192 8629358763 8780751022 9813780554 11505811684 13171126533 14720670831 17258717526 17561502044 19627561108 23011623368 26342253066 29441341662 34517435052 35123004088 39255122216 52684506132 58882683324 69034870104 83417134709 105369012264 117765366648 166834269418 250251404127 333668538836 500502808254 667337077672 1001005616508 2002011233016