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3102433220224 = 27132903642247
BaseRepresentation
bin101101001001010111011…
…011100001011010000000
3101222120220220110000100101
4231021113123201122000
5401312240401021344
610333123234532144
7440100121156102
oct55112733413200
911876826400311
103102433220224
11a96809744188
12421332737054
13196734489c10
14aa231183572
1555a7c3b79d4
hex2d2576e1680

3102433220224 has 64 divisors (see below), whose sum is σ = 6658364845440. Its totient is φ = 1431396781056.

The previous prime is 3102433220189. The next prime is 3102433220231. The reversal of 3102433220224 is 4220223342013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31024332202242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3102433220192 and 3102433220201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4509469 + ... + 5151715.

It is an arithmetic number, because the mean of its divisors is an integer number (104036950710).

Almost surely, 23102433220224 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 3102433220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329182422720).

3102433220224 is an abundant number, since it is smaller than the sum of its proper divisors (3555931625216).

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

3102433220224 is a wasteful number, since it uses less digits than its factorization.

3102433220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645177 (or 645165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3102433220224 its reverse (4220223342013), we get a palindrome (7322656562237).

The spelling of 3102433220224 in words is "three trillion, one hundred two billion, four hundred thirty-three million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2903 5806 11612 23224 37739 46448 75478 92896 150956 185792 301912 371584 603824 642247 1207648 1284494 2415296 2568988 4830592 5137976 8349211 10275952 16698422 20551904 33396844 41103808 66793688 82207616 133587376 267174752 534349504 1068699008 1864443041 3728886082 7457772164 14915544328 24237759533 29831088656 48475519066 59662177312 96951038132 119324354624 193902076264 238648709248 387804152528 775608305056 1551216610112 3102433220224