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103121220444 = 223113780926099
BaseRepresentation
bin110000000001010000…
…0001111001101011100
3100212011200202202202220
41200002200033031130
53142143013023234
6115212341345340
710310303624364
oct1400240171534
9325150682686
10103121220444
113a808271230
1217b9b108250
139955357548
144dc37bd9a4
152a38275a49
hex180280f35c

103121220444 has 96 divisors (see below), whose sum is σ = 269928288000. Its totient is φ = 30365544960.

The previous prime is 103121220443. The next prime is 103121220467. The reversal of 103121220444 is 444022121301.

It is a super-2 number, since 2×1031212204442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121220443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3938107 + ... + 3964205.

It is an arithmetic number, because the mean of its divisors is an integer number (2811753000).

Almost surely, 2103121220444 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 103121220444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134964144000).

103121220444 is an abundant number, since it is smaller than the sum of its proper divisors (166807067556).

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

103121220444 is a wasteful number, since it uses less digits than its factorization.

103121220444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26963 (or 26961 counting only the distinct ones).

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

Adding to 103121220444 its reverse (444022121301), we get a palindrome (547143341745).

The spelling of 103121220444 in words is "one hundred three billion, one hundred twenty-one million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 809 814 1221 1618 1628 2427 2442 3236 4854 4884 8899 9708 17798 26099 26697 29933 35596 52198 53394 59866 78297 89799 104396 106788 119732 156594 179598 287089 313188 329263 359196 574178 658526 861267 965663 987789 1148356 1317052 1722534 1931326 1975578 2896989 3445068 3862652 3951156 5793978 10622293 11587956 21114091 21244586 31866879 42228182 42489172 63342273 63733758 84456364 126684546 127467516 232255001 253369092 464510002 696765003 781221367 929020004 1393530006 1562442734 2343664101 2787060012 3124885468 4687328202 8593435037 9374656404 17186870074 25780305111 34373740148 51560610222 103121220444