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10150914330 = 23558295039
BaseRepresentation
bin10010111010000101…
…01010100100011010
3222012102201212200000
421131002222210122
5131242113224310
64355133153430
7506356230264
oct113502524432
928172655600
1010150914330
114339a211a7
121b7362b876
13c5a0495ab
146c4208b34
153e626d4c0
hex25d0aa91a

10150914330 has 96 divisors (see below), whose sum is σ = 27408326400. Its totient is φ = 2703108672.

The previous prime is 10150914317. The next prime is 10150914337. The reversal of 10150914330 is 3341905101.

10150914330 is a `hidden beast` number, since 10 + 1 + 509 + 143 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10150914294 and 10150914303.

It is not an unprimeable number, because it can be changed into a prime (10150914337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2011951 + ... + 2016989.

It is an arithmetic number, because the mean of its divisors is an integer number (285503400).

Almost surely, 210150914330 is an apocalyptic number.

10150914330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10150914330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704163200).

10150914330 is an abundant number, since it is smaller than the sum of its proper divisors (17257412070).

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

10150914330 is an equidigital number, since it uses as much as digits as its factorization.

10150914330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10150914330 in words is "ten billion, one hundred fifty million, nine hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 829 1215 1658 2430 2487 4145 4974 5039 7461 8290 10078 12435 14922 15117 22383 24870 25195 30234 37305 44766 45351 50390 67149 74610 75585 90702 111915 134298 136053 151170 201447 223830 226755 272106 335745 402894 408159 453510 671490 680265 816318 1007235 1224477 1360530 2014470 2040795 2448954 4081590 4177331 6122385 8354662 12244770 12531993 20886655 25063986 37595979 41773310 62659965 75191958 112787937 125319930 187979895 225575874 338363811 375959790 563939685 676727622 1015091433 1127879370 1691819055 2030182866 3383638110 5075457165 10150914330