Search a number
-
+
103332322134 = 23323316143997
BaseRepresentation
bin110000000111100010…
…1100001101101010110
3100212201101222211212000
41200033011201231112
53143111033302014
6115245322140130
710315446150246
oct1401705415526
9325641884760
10103332322134
113a906447038
1218039951646
139989cca9a2
145003851b26
152a4ba74509
hex180f161b56

103332322134 has 128 divisors (see below), whose sum is σ = 251401052160. Its totient is φ = 31360348800.

The previous prime is 103332322129. The next prime is 103332322141. The reversal of 103332322134 is 431223233301.

103332322134 is a `hidden beast` number, since 1 + 0 + 3 + 332 + 322 + 1 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103332322098 and 103332322107.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2326624 + ... + 2370620.

It is an arithmetic number, because the mean of its divisors is an integer number (1964070720).

Almost surely, 2103332322134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103332322134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125700526080).

103332322134 is an abundant number, since it is smaller than the sum of its proper divisors (148068730026).

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

103332322134 is a wasteful number, since it uses less digits than its factorization.

103332322134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44123 (or 44117 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103332322134 its reverse (431223233301), we get a palindrome (534555555435).

The spelling of 103332322134 in words is "one hundred three billion, three hundred thirty-two million, three hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 61 62 69 93 122 138 183 186 207 279 366 414 549 558 621 713 837 1098 1242 1403 1426 1647 1674 1891 2139 2806 3294 3782 4209 4278 5673 6417 8418 11346 12627 12834 17019 19251 25254 34038 37881 38502 43493 43997 51057 75762 86986 87994 102114 130479 131991 260958 263982 391437 395973 782874 791946 1011931 1174311 1187919 1363907 2023862 2348622 2375838 2683817 2727814 3035793 4091721 5367634 6071586 8051451 8183442 9107379 12275163 16102902 18214758 24154353 24550326 27322137 31369861 36825489 48308706 54644274 61727791 62739722 72463059 73650978 83198327 94109583 123455582 144926118 166396654 185183373 188219166 249594981 282328749 370366746 499189962 555550119 564657498 748784943 846986247 1111100238 1497569886 1666650357 1693972494 1913561521 2246354829 3333300714 3827123042 4492709658 5740684563 11481369126 17222053689 34444107378 51666161067 103332322134