Search a number
-
+
103330322013312 = 273329898820027
BaseRepresentation
bin10111011111101001110111…
…001000110101110010000000
3111112212021121210201201002000
4113133221313020311302000
5102020430444413411222
61003433143345224000
730523240464163122
oct2737516710656200
9445767553651060
10103330322013312
112aa19163a62589
12b70a137932000
1345870137a4254
141b732ddd59212
15be2cd37079ac
hex5dfa77235c80

103330322013312 has 64 divisors (see below), whose sum is σ = 304967964285600. Its totient is φ = 34443440669952.

The previous prime is 103330322013311. The next prime is 103330322013323. The reversal of 103330322013312 is 213310223033301.

103330322013312 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 3 + 0 + 322 + 0 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (103330322013311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14949406558 + ... + 14949413469.

Almost surely, 2103330322013312 is an apocalyptic number.

103330322013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103330322013312 is an abundant number, since it is smaller than the sum of its proper divisors (201637642272288).

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

103330322013312 is an equidigital number, since it uses as much as digits as its factorization.

103330322013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29898820050 (or 29898820032 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103330322013312 its reverse (213310223033301), we get a palindrome (316640545046613).

The spelling of 103330322013312 in words is "one hundred three trillion, three hundred thirty billion, three hundred twenty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 29898820027 59797640054 89696460081 119595280108 179392920162 239190560216 269089380243 358785840324 478381120432 538178760486 717571680648 807268140729 956762240864 1076357520972 1435143361296 1614536281458 1913524481728 2152715041944 2870286722592 3229072562916 3827048963456 4305430083888 5740573445184 6458145125832 8610860167776 11481146890368 12916290251664 17221720335552 25832580503328 34443440671104 51665161006656 103330322013312