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100112112 = 24372861
BaseRepresentation
bin1011111011110…
…01011011110000
320222101020000000
411331321123300
5201112041422
613533430000
72323640022
oct575713360
9228336000
10100112112
1151568791
122963b300
1317982849
14d420012
158bc7cac
hex5f796f0

100112112 has 80 divisors (see below), whose sum is σ = 291008160. Its totient is φ = 33359040.

The previous prime is 100112107. The next prime is 100112141. The reversal of 100112112 is 211211001.

It is a happy number.

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 = 100112094 and 100112103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33562 + ... + 36422.

It is an arithmetic number, because the mean of its divisors is an integer number (3637602).

Almost surely, 2100112112 is an apocalyptic number.

100112112 is a gapful number since it is divisible by the number (12) 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 100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145504080).

100112112 is an abundant number, since it is smaller than the sum of its proper divisors (190896048).

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

100112112 is an frugal number, since it uses more digits than its factorization.

100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2866 counting only the distinct ones).

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

The square root of 100112112 is about 10005.6040297425. The cubic root of 100112112 is about 464.3322778478.

Adding to 100112112 its reverse (211211001), we get a palindrome (311323113).

The spelling of 100112112 in words is "one hundred million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2861 2916 3888 4374 5722 5832 8583 8748 11444 11664 17166 17496 22888 25749 34332 34992 45776 51498 68664 77247 102996 137328 154494 205992 231741 308988 411984 463482 617976 695223 926964 1235952 1390446 1853928 2085669 2780892 3707856 4171338 5561784 6257007 8342676 11123568 12514014 16685352 25028028 33370704 50056056 100112112