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103011323213232 = 24327234443207523
BaseRepresentation
bin10111011011000000110001…
…010100111111010110110000
3111111201210020020012122011200
4113123000301110333112300
5102000214142220310412
61003030425410011200
730461215422132660
oct2733006124772660
9444653206178150
10103011323213232
112a9059474aa615
12b67834b876b00
134562c06838105
141b61abb8b21a0
15bd98631499dc
hex5db03153f5b0

103011323213232 has 120 divisors (see below), whose sum is σ = 343797625377024. Its totient is φ = 28152162859392.

The previous prime is 103011323213167. The next prime is 103011323213353. The reversal of 103011323213232 is 232312323110301.

103011323213232 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 13 + 2 + 321 + 323 + 2 = 666.

It is a super-2 number, since 2×1030113232132322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103011323213196 and 103011323213205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221580578 + ... + 2221626945.

Almost surely, 2103011323213232 is an apocalyptic number.

103011323213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103011323213232 is an abundant number, since it is smaller than the sum of its proper divisors (240786302163792).

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

103011323213232 is a wasteful number, since it uses less digits than its factorization.

103011323213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443207567 (or 4443207558 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103011323213232 its reverse (232312323110301), we get a palindrome (335323646323533).

The spelling of 103011323213232 in words is "one hundred three trillion, eleven billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 4443207523 8886415046 13329622569 17772830092 26659245138 31102452661 35545660184 39988867707 53318490276 62204905322 71091320368 79977735414 93307357983 102193773029 106636980552 124409810644 159955470828 186614715966 204387546058 213273961104 248819621288 279922073949 306581319087 319910941656 373229431932 408775092116 497639242576 559844147898 613162638174 639821883312 715356411203 746458863864 817550184232 919743957261 1119688295796 1226325276348 1430712822406 1492917727728 1635100368464 1839487914522 2146069233609 2239376591592 2452650552696 2861425644812 3678975829044 4292138467218 4478753183184 4905301105392 5722851289624 6438207700827 7357951658088 8584276934436 11445702579248 12876415401654 14715903316176 17168553868872 25752830803308 34337107737744 51505661606616 103011323213232