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103221440412 = 223172413316343
BaseRepresentation
bin110000000100001111…
…0100010111110011100
3100212102200100110201120
41200020132202332130
53142344142043122
6115230321410540
710312631524026
oct1401036427634
9325380313646
10103221440412
113a8598a2a52
1218008799a50
1399700471bc
144dd2c2b016
152a41e7075c
hex18087a2f9c

103221440412 has 96 divisors (see below), whose sum is σ = 256889977344. Its totient is φ = 32146329600.

The previous prime is 103221440407. The next prime is 103221440419. The reversal of 103221440412 is 214044122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103221440419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16270113 + ... + 16276455.

It is an arithmetic number, because the mean of its divisors is an integer number (2675937264).

Almost surely, 2103221440412 is an apocalyptic number.

103221440412 is a gapful number since it is divisible by the number (12) 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 103221440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128444988672).

103221440412 is an abundant number, since it is smaller than the sum of its proper divisors (153668536932).

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

103221440412 is a wasteful number, since it uses less digits than its factorization.

103221440412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 103221440412 its reverse (214044122301), we get a palindrome (317265562713).

The spelling of 103221440412 in words is "one hundred three billion, two hundred twenty-one million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 331 482 662 723 964 993 1324 1446 1986 2892 3972 4097 5627 6343 8194 11254 12291 12686 16388 16881 19029 22508 24582 25372 33762 38058 49164 67524 76116 79771 107831 159542 215662 239313 319084 323493 431324 478626 646986 957252 1293972 1356107 1528663 2099533 2712214 3057326 4068321 4199066 4585989 5424428 6114652 6298599 8136642 8398132 9171978 12597198 16273284 18343956 25194396 25987271 35692061 51974542 71384122 77961813 103949084 107076183 142768244 155923626 214152366 311847252 428304732 505987453 1011974906 1517962359 2023949812 3035924718 6071849436 8601786701 17203573402 25805360103 34407146804 51610720206 103221440412