Search a number
-
+
100111068 = 22322939491
BaseRepresentation
bin1011111011110…
…01001011011100
320222101011120100
411331321023130
5201112023233
613533421100
72323634001
oct575711334
9228334510
10100111068
1151567a22
122963a790
1317982225
14d41d8a8
158bc7813
hex5f792dc

100111068 has 36 divisors (see below), whose sum is σ = 253948968. Its totient is φ = 33252960.

The previous prime is 100111061. The next prime is 100111069. The reversal of 100111068 is 860111001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1001110682 = 20044451872201248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100111068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111061) 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 11 ways as a sum of consecutive naturals, for example, 5803 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (7054138).

Almost surely, 2100111068 is an apocalyptic number.

100111068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100111068 is an abundant number, since it is smaller than the sum of its proper divisors (153837900).

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

100111068 is a wasteful number, since it uses less digits than its factorization.

100111068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 100111068 is about 10005.5518588432. The cubic root of 100111068 is about 464.3306637755.

Adding to 100111068 its reverse (860111001), we get a palindrome (960222069).

The spelling of 100111068 in words is "one hundred million, one hundred eleven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 9491 10548 18982 28473 37964 56946 85419 113892 170838 341676 2780863 5561726 8342589 11123452 16685178 25027767 33370356 50055534 100111068