Search a number
-
+
103054122 = 232232291087
BaseRepresentation
bin1100010010001…
…11101100101010
321011220200200100
412021013230222
5202340212442
614120450230
72360642223
oct611075452
9234820610
10103054122
11531980a6
122a619976
1318472992
14d98824a
1590a984c
hex6247b2a

103054122 has 48 divisors (see below), whose sum is σ = 234224640. Its totient is φ = 32684256.

The previous prime is 103054121. The next prime is 103054123. The reversal of 103054122 is 221450301.

103054122 is a `hidden beast` number, since 103 + 0 + 541 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (103054121) and next prime (103054123).

It is a super-2 number, since 2×1030541222 = 21240304122381768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103054095 and 103054104.

It is not an unprimeable number, because it can be changed into a prime (103054121) 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, 94263 + ... + 95349.

It is an arithmetic number, because the mean of its divisors is an integer number (4879680).

Almost surely, 2103054122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103054122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117112320).

103054122 is an abundant number, since it is smaller than the sum of its proper divisors (131170518).

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

103054122 is a wasteful number, since it uses less digits than its factorization.

103054122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103054122 is about 10151.5576144747. The cubic root of 103054122 is about 468.8369037808.

The spelling of 103054122 in words is "one hundred three million, fifty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 229 414 458 687 1087 1374 2061 2174 3261 4122 5267 6522 9783 10534 15801 19566 25001 31602 47403 50002 75003 94806 150006 225009 248923 450018 497846 746769 1493538 2240307 4480614 5725229 11450458 17175687 34351374 51527061 103054122