Search a number
-
+
120303222102 = 232722312134889
BaseRepresentation
bin111000000001010100…
…0010111110101010110
3102111112010201220000200
41300002220113311112
53432340111101402
6131133323321330
711456140341600
oct1600250276526
9374463656020
10120303222102
114702503a3a8
121b395380246
13b462c7292b
145b73718170
1531e18ee21c
hex1c02a17d56

120303222102 has 144 divisors (see below), whose sum is σ = 316722013920. Its totient is φ = 32844075264.

The previous prime is 120303222059. The next prime is 120303222103. The reversal of 120303222102 is 201222303021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120303222103) 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 71 ways as a sum of consecutive naturals, for example, 24604474 + ... + 24609362.

It is an arithmetic number, because the mean of its divisors is an integer number (2199458430).

Almost surely, 2120303222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120303222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158361006960).

120303222102 is an abundant number, since it is smaller than the sum of its proper divisors (196418791818).

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

120303222102 is a wasteful number, since it uses less digits than its factorization.

120303222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120303222102 its reverse (201222303021), we get a palindrome (321525525123).

The spelling of 120303222102 in words is "one hundred twenty billion, three hundred three million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1213 1449 2254 2426 2898 3381 3639 4889 6762 7278 8491 9778 10143 10917 14667 16982 20286 21834 25473 27899 29334 34223 44001 50946 55798 59437 68446 76419 83697 88002 102669 112447 118874 152838 167394 178311 195293 205338 224894 239561 251091 308007 337341 356622 390586 479122 502182 534933 585879 616014 674682 718683 787129 1012023 1069866 1171758 1367051 1437366 1574258 1757637 2024046 2156049 2361387 2734102 3515274 4101153 4312098 4722774 5509903 5930357 7084161 8202306 11019806 11860714 12303459 14168322 16529709 17791071 24606918 33059418 35582142 41512499 49589127 53373213 83024998 99178254 106746426 124537497 136398211 249074994 272796422 290587493 373612491 409194633 581174986 747224982 818389266 871762479 954787477 1227583899 1743524958 1909574954 2455167798 2615287437 2864362431 5230574874 5728724862 6683512339 8593087293 13367024678 17186174586 20050537017 40101074034 60151611051 120303222102