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103300212320 = 25519197172489
BaseRepresentation
bin110000000110100101…
…1000010011001100000
3100212122011120111110122
41200031023002121200
53143024323243240
6115242214015412
710314606213524
oct1401513023140
9325564514418
10103300212320
113a89a3054a8
121802b047568
1399834675b6
144ddd493d84
152a48d304b5
hex180d2c2660

103300212320 has 96 divisors (see below), whose sum is σ = 258196831200. Its totient is φ = 38946410496.

The previous prime is 103300212319. The next prime is 103300212341. The reversal of 103300212320 is 23212003301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512636 + ... + 685124.

It is an arithmetic number, because the mean of its divisors is an integer number (2689550325).

Almost surely, 2103300212320 is an apocalyptic number.

103300212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103300212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129098415600).

103300212320 is an abundant number, since it is smaller than the sum of its proper divisors (154896618880).

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

103300212320 is a wasteful number, since it uses less digits than its factorization.

103300212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172720 (or 172712 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 103300212320 its reverse (23212003301), we get a palindrome (126512215621).

The spelling of 103300212320 in words is "one hundred three billion, three hundred million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 197 304 380 394 608 760 788 985 1520 1576 1970 3040 3152 3743 3940 6304 7486 7880 14972 15760 18715 29944 31520 37430 59888 74860 119776 149720 172489 299440 344978 598880 689956 862445 1379912 1724890 2759824 3277291 3449780 5519648 6554582 6899560 13109164 13799120 16386455 26218328 27598240 32772910 33980333 52436656 65545820 67960666 104873312 131091640 135921332 169901665 262183280 271842664 339803330 524366560 543685328 645626327 679606660 1087370656 1291252654 1359213320 2582505308 2718426640 3228131635 5165010616 5436853280 6456263270 10330021232 12912526540 20660042464 25825053080 51650106160 103300212320