Search a number
-
+
2033223102031 = 1121731592771951
BaseRepresentation
bin11101100101100101100…
…010100110111001001111
321012101002210222022010111
4131211211202212321033
5231303020103231111
64154014431220451
7266616110132602
oct35454542467117
97171083868114
102033223102031
11714315487100
1228a076377727
131199695c6324
14705a0db8339
1537d4ea69a21
hex1d9658a6e4f

2033223102031 has 96 divisors (see below), whose sum is σ = 2494307450880. Its totient is φ = 1648183680000.

The previous prime is 2033223102007. The next prime is 2033223102037. The reversal of 2033223102031 is 1302013223302.

It is not a de Polignac number, because 2033223102031 - 25 = 2033223101999 is a prime.

It is a super-2 number, since 2×20332231020312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2033223101993 and 2033223102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033223102037) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1042143106 + ... + 1042145056.

It is an arithmetic number, because the mean of its divisors is an integer number (25982369280).

Almost surely, 22033223102031 is an apocalyptic number.

2033223102031 is a deficient number, since it is larger than the sum of its proper divisors (461084348849).

2033223102031 is a wasteful number, since it uses less digits than its factorization.

2033223102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2033223102031 its reverse (1302013223302), we get a palindrome (3335236325333).

The spelling of 2033223102031 in words is "two trillion, thirty-three billion, two hundred twenty-three million, one hundred two thousand, thirty-one".

Divisors: 1 11 17 31 59 121 187 277 341 527 649 1003 1829 1951 2057 3047 3751 4709 5797 7139 8587 11033 16343 20119 21461 31093 33167 33517 51799 60481 63767 94457 115109 121363 145979 179773 221309 236071 277831 342023 364837 506633 540427 569789 665291 1028177 1039027 1266199 1605769 1956853 1977503 3056141 3568379 3762253 4013207 5572963 5944697 7318201 8612761 9187259 11309947 13928189 16753237 17663459 21525383 31885193 33617551 39252169 60662443 61302593 65391667 94740371 101059849 124409417 184285607 236779213 284805029 350737123 431773859 542048281 667286873 988440983 1042144081 1111658339 2027141677 3132855319 3858108353 5962531091 7340155603 10872850813 16803496711 34461408509 65587842001 119601358943 184838463821 2033223102031