Search a number
-
+
10350165100 = 22521112137757
BaseRepresentation
bin10011010001110101…
…01111110001101100
3222201022122212100011
421220322233301230
5132144120240400
64431011543004
7514325644312
oct115072576154
928638585304
1010350165100
114431442260
12200a2baa64
13c8c400862
147028740b2
154089ca8ba
hex268eafc6c

10350165100 has 72 divisors (see below), whose sum is σ = 24525024048. Its totient is φ = 3760108800.

The previous prime is 10350164999. The next prime is 10350165103. The reversal of 10350165100 is 156105301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10350165103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330422 + ... + 1338178.

It is an arithmetic number, because the mean of its divisors is an integer number (340625334).

Almost surely, 210350165100 is an apocalyptic number.

10350165100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10350165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262512024).

10350165100 is an abundant number, since it is smaller than the sum of its proper divisors (14174858948).

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

10350165100 is a wasteful number, since it uses less digits than its factorization.

10350165100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 10350165100 in words is "ten billion, three hundred fifty million, one hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1213 2426 4852 6065 7757 12130 13343 15514 24260 26686 30325 31028 38785 53372 60650 66715 77570 85327 121300 133430 155140 170654 193925 266860 333575 341308 387850 426635 667150 775700 853270 1334300 1706540 2133175 4266350 8532700 9409241 18818482 37636964 47046205 94092410 103501651 188184820 207003302 235231025 414006604 470462050 517508255 940924100 1035016510 2070033020 2587541275 5175082550 10350165100