Search a number
-
+
100220211 = 3271329413
BaseRepresentation
bin1011111100100…
…11110100110011
320222120201021200
411332103310303
5201124021321
613540022243
72324600130
oct576236463
9228521250
10100220211
1151631a23
1229691983
13179bcb00
14d44b587
158be9d26
hex5f93d33

100220211 has 36 divisors (see below), whose sum is σ = 179167248. Its totient is φ = 52857792.

The previous prime is 100220209. The next prime is 100220213. The reversal of 100220211 is 112022001.

It is an interprime number because it is at equal distance from previous prime (100220209) and next prime (100220213).

It is not a de Polignac number, because 100220211 - 21 = 100220209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100220193 and 100220202.

It is not an unprimeable number, because it can be changed into a prime (100220213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5941 + ... + 15353.

It is an arithmetic number, because the mean of its divisors is an integer number (4976868).

Almost surely, 2100220211 is an apocalyptic number.

100220211 is a deficient number, since it is larger than the sum of its proper divisors (78947037).

100220211 is a wasteful number, since it uses less digits than its factorization.

100220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100220211 is about 10011.0044950544. The cubic root of 100220211 is about 464.4993432130.

Adding to 100220211 its reverse (112022001), we get a palindrome (212242212).

The spelling of 100220211 in words is "one hundred million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 3549 9413 10647 28239 65891 84717 122369 197673 367107 593019 856583 1101321 1590797 2569749 4772391 7709247 11135579 14317173 33406737 100220211