Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
100122111 = 3237300667
BaseRepresentation
bin1011111011110…
…11110111111111
320222101201201100
411331323313333
5201112401421
613533544143
72324011125
oct575736777
9228351640
10100122111
1151575251
1229645053
131798726b
14d423915
158bcac26
hex5f7bdff

100122111 has 12 divisors (see below), whose sum is σ = 148529992. Its totient is φ = 64943856.

The previous prime is 100122089. The next prime is 100122179. The reversal of 100122111 is 111221001.

It is a happy number.

It is not a de Polignac number, because 100122111 - 26 = 100122047 is a prime.

It is a super-2 number, since 2×1001221112 = 20048874222192642, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122093 and 100122102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150001 + ... + 150666.

Almost surely, 2100122111 is an apocalyptic number.

100122111 is a deficient number, since it is larger than the sum of its proper divisors (48407881).

100122111 is a wasteful number, since it uses less digits than its factorization.

100122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300710 (or 300707 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100122111 is about 10006.1036872501. The cubic root of 100122111 is about 464.3477361968.

Adding to 100122111 its reverse (111221001), we get a palindrome (211343112).

The spelling of 100122111 in words is "one hundred million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 9 37 111 333 300667 902001 2706003 11124679 33374037 100122111