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10220223213333 = 337373153146351
BaseRepresentation
bin1001010010111001010011…
…0001100010111100010101
31100012001011221001121201000
42110232110301202330111
52314422004120311313
633423034500453513
72103246441644040
oct224562461427425
940161157047630
1010220223213333
113290410621771
1211908b80aa299
135919bc176503
14274938ddbc57
1512acb8a25673
hex94b94c62f15

10220223213333 has 64 divisors (see below), whose sum is σ = 17772706570240. Its totient is φ = 5681983464000.

The previous prime is 10220223213313. The next prime is 10220223213337. The reversal of 10220223213333 is 33331232202201.

10220223213333 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 2 + 2 + 321 + 3 + 333 = 666.

It is not a de Polignac number, because 10220223213333 - 214 = 10220223196949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220223213297 and 10220223213306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220223213337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220473108 + ... + 220519458.

It is an arithmetic number, because the mean of its divisors is an integer number (277698540160).

Almost surely, 210220223213333 is an apocalyptic number.

It is an amenable number.

10220223213333 is a deficient number, since it is larger than the sum of its proper divisors (7552483356907).

10220223213333 is a wasteful number, since it uses less digits than its factorization.

10220223213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77935 (or 77929 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10220223213333 its reverse (33331232202201), we get a palindrome (43551455415534).

The spelling of 10220223213333 in words is "ten trillion, two hundred twenty billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 31531 46351 94593 139053 220717 283779 324457 417159 662151 851337 973371 1166647 1251477 1714987 1986453 2920113 3499941 5144961 5959359 8166529 8760339 10499823 12004909 15434883 24499587 31499469 36014727 46304649 73498761 108044181 220496283 324132543 1461493381 4384480143 10230453667 13153440429 30691361001 39460321287 54075255097 92074083003 162225765291 276222249009 378526785679 486677295873 1135580357037 1460031887619 3406741071111 10220223213333