Search a number
-
+
10121100 = 22352113067
BaseRepresentation
bin100110100110…
…111110001100
3201001012112120
4212212332030
510042333400
61000532540
7152012403
oct46467614
921035476
1010121100
115793150
123481150
132134a22
1414b663a
15d4dca0
hex9a6f8c

10121100 has 72 divisors (see below), whose sum is σ = 31956288. Its totient is φ = 2452800.

The previous prime is 10121093. The next prime is 10121107. The reversal of 10121100 is 112101.

It is an interprime number because it is at equal distance from previous prime (10121093) and next prime (10121107).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1767 + ... + 4833.

Almost surely, 210121100 is an apocalyptic number.

10121100 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 10121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978144).

10121100 is an abundant number, since it is smaller than the sum of its proper divisors (21835188).

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

10121100 is a wasteful number, since it uses less digits than its factorization.

10121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10121100 is about 3181.3676304382. The cubic root of 10121100 is about 216.3096553206.

Adding to 10121100 its reverse (112101), we get a palindrome (10233201).

It can be divided in two parts, 1012 and 1100, that added together give a palindrome (2112).

The spelling of 10121100 in words is "ten million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3067 3300 6134 9201 12268 15335 18402 30670 33737 36804 46005 61340 67474 76675 92010 101211 134948 153350 168685 184020 202422 230025 306700 337370 404844 460050 506055 674740 843425 920100 1012110 1686850 2024220 2530275 3373700 5060550 10121100