Search a number
-
+
703442103630 = 235733128013613
BaseRepresentation
bin10100011110010000110…
…10101010110101001110
32111020201002102101020120
422033020122222311032
543011122134304010
61255053513325410
7101551644140040
oct12171032526516
92436632371216
10703442103630
11251367802042
12b43b9406866
1351446614c56
1426092511a90
1513471379e70
hexa3c86aad4e

703442103630 has 128 divisors (see below), whose sum is σ = 1936497079296. Its totient is φ = 160199424000.

The previous prime is 703442103593. The next prime is 703442103649. The reversal of 703442103630 is 36301244307.

703442103630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 703442103591 and 703442103600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194695704 + ... + 194699316.

It is an arithmetic number, because the mean of its divisors is an integer number (15128883432).

Almost surely, 2703442103630 is an apocalyptic number.

703442103630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 703442103630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968248539648).

703442103630 is an abundant number, since it is smaller than the sum of its proper divisors (1233054975666).

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

703442103630 is a wasteful number, since it uses less digits than its factorization.

703442103630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762.

The product of its (nonzero) digits is 36288, while the sum is 33.

Adding to 703442103630 its reverse (36301244307), we get a palindrome (739743347937).

The spelling of 703442103630 in words is "seven hundred three billion, four hundred forty-two million, one hundred three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 331 662 993 1655 1986 2317 2801 3310 3613 4634 4965 5602 6951 7226 8403 9930 10839 11585 13902 14005 16806 18065 19607 21678 23170 25291 28010 34755 36130 39214 42015 50582 54195 58821 69510 75873 84030 98035 108390 117642 126455 151746 196070 252910 294105 379365 588210 758730 927131 1195903 1854262 2391806 2781393 3587709 4635655 5562786 5979515 6489917 7175418 8371321 9271310 10120013 11959030 12979834 13906965 16742642 17938545 19469751 20240026 25113963 27813930 30360039 32449585 35877090 38939502 41856605 50227926 50600065 60720078 64899170 70840091 83713210 97348755 101200130 125569815 141680182 151800195 194697510 212520273 251139630 303600390 354200455 425040546 708400910 1062601365 2125202730 3349724303 6699448606 10049172909 16748621515 20098345818 23448070121 33497243030 46896140242 50245864545 70344210363 100491729090 117240350605 140688420726 234480701210 351721051815 703442103630